04. Motion Under Gravity
Motion in One Dimensions

141834 A gun and a target are at the same horizontal level separated by a distance of \(600 \mathrm{~m}\). The bullet is fired from the gun with a velocity of \(500 \mathrm{~ms}^{-1}\). In order to hit the target, the gun should be aimed to a height \(h\) above the target. The value of \(h\) is
(Acceleration due to gravity, \(g=10 \mathbf{~ m s}^{-\mathbf{2}}\) )

1 \(2.4 \mathrm{~m}\)
2 \(3.6 \mathrm{~m}\)
3 \(7.2 \mathrm{~m}\)
4 \(10.8 \mathrm{~m}\)
Motion in One Dimensions

141835 Ball-1 is dropped from the top of a building from rest. At the same moment, ball-2 is thrown upward towards ball-1 with a speed 14 \(\mathrm{m} / \mathrm{s}\) from a point \(21 \mathrm{~m}\) below the top of building. How far will the ball-1 have dropped when it passes ball-2. (Assume, acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\).)

1 \(\frac{45}{4} \mathrm{~m}\)
2 \(\frac{52}{6} \mathrm{~m}\)
3 \(\frac{37}{2} \mathrm{~m}\)
4 \(\frac{25}{2} \mathrm{~m}\)
Motion in One Dimensions

141831 Assertion : When a body is dropped or thrown upward from the same height, it would reach the ground at the same time.
Reason : Direction of projection does not affect the time of flight.

1 If both assertion and reason are true and reason is the correct explanation of assertion.
2 If both assertion and reason are true but reason is not the correct explanation of assertion.
3 If assertion is true but reason is false.
4 If both assertion and reason are false.
Motion in One Dimensions

141836 A ball is thrown vertically upward from the ground at time, \(t=0 \mathrm{~s}\). It passes the top of a tower at \(t=3 \mathrm{~s}\) and \(2 \mathrm{~s}\) later it reaches and its maximum height. The height of the tower is (Acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(105 \mathrm{~m}\)
2 \(125 \mathrm{~m}\)
3 \(85 \mathrm{~m}\)
4 \(65 \mathrm{~m}\)
Motion in One Dimensions

141837 A ball is projected vertically up from ground. Boy A standing at the window of first floor of a nearly building observes that the time interval between the ball crossing him while going up and the ball crossing him while going down is 2s. Another boy B standing on the second floor notices that time interval between the ball passing him twice, during up motion and down motion is \(1 \mathrm{~s}\). Calculate the difference between the vertical positions of boy \(B\) and boy \(A\) (Assume, acceleration due to gravity, \(g=10\) \(\mathbf{m} / \mathbf{s}^{2}\) )

1 \(8.45 \mathrm{~m}\)
2 \(3.75 \mathrm{~m}\)
3 \(4.25 \mathrm{~m}\)
4 \(2.50 \mathrm{~m}\)
Motion in One Dimensions

141834 A gun and a target are at the same horizontal level separated by a distance of \(600 \mathrm{~m}\). The bullet is fired from the gun with a velocity of \(500 \mathrm{~ms}^{-1}\). In order to hit the target, the gun should be aimed to a height \(h\) above the target. The value of \(h\) is
(Acceleration due to gravity, \(g=10 \mathbf{~ m s}^{-\mathbf{2}}\) )

1 \(2.4 \mathrm{~m}\)
2 \(3.6 \mathrm{~m}\)
3 \(7.2 \mathrm{~m}\)
4 \(10.8 \mathrm{~m}\)
Motion in One Dimensions

141835 Ball-1 is dropped from the top of a building from rest. At the same moment, ball-2 is thrown upward towards ball-1 with a speed 14 \(\mathrm{m} / \mathrm{s}\) from a point \(21 \mathrm{~m}\) below the top of building. How far will the ball-1 have dropped when it passes ball-2. (Assume, acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\).)

1 \(\frac{45}{4} \mathrm{~m}\)
2 \(\frac{52}{6} \mathrm{~m}\)
3 \(\frac{37}{2} \mathrm{~m}\)
4 \(\frac{25}{2} \mathrm{~m}\)
Motion in One Dimensions

141831 Assertion : When a body is dropped or thrown upward from the same height, it would reach the ground at the same time.
Reason : Direction of projection does not affect the time of flight.

1 If both assertion and reason are true and reason is the correct explanation of assertion.
2 If both assertion and reason are true but reason is not the correct explanation of assertion.
3 If assertion is true but reason is false.
4 If both assertion and reason are false.
Motion in One Dimensions

141836 A ball is thrown vertically upward from the ground at time, \(t=0 \mathrm{~s}\). It passes the top of a tower at \(t=3 \mathrm{~s}\) and \(2 \mathrm{~s}\) later it reaches and its maximum height. The height of the tower is (Acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(105 \mathrm{~m}\)
2 \(125 \mathrm{~m}\)
3 \(85 \mathrm{~m}\)
4 \(65 \mathrm{~m}\)
Motion in One Dimensions

141837 A ball is projected vertically up from ground. Boy A standing at the window of first floor of a nearly building observes that the time interval between the ball crossing him while going up and the ball crossing him while going down is 2s. Another boy B standing on the second floor notices that time interval between the ball passing him twice, during up motion and down motion is \(1 \mathrm{~s}\). Calculate the difference between the vertical positions of boy \(B\) and boy \(A\) (Assume, acceleration due to gravity, \(g=10\) \(\mathbf{m} / \mathbf{s}^{2}\) )

1 \(8.45 \mathrm{~m}\)
2 \(3.75 \mathrm{~m}\)
3 \(4.25 \mathrm{~m}\)
4 \(2.50 \mathrm{~m}\)
Motion in One Dimensions

141834 A gun and a target are at the same horizontal level separated by a distance of \(600 \mathrm{~m}\). The bullet is fired from the gun with a velocity of \(500 \mathrm{~ms}^{-1}\). In order to hit the target, the gun should be aimed to a height \(h\) above the target. The value of \(h\) is
(Acceleration due to gravity, \(g=10 \mathbf{~ m s}^{-\mathbf{2}}\) )

1 \(2.4 \mathrm{~m}\)
2 \(3.6 \mathrm{~m}\)
3 \(7.2 \mathrm{~m}\)
4 \(10.8 \mathrm{~m}\)
Motion in One Dimensions

141835 Ball-1 is dropped from the top of a building from rest. At the same moment, ball-2 is thrown upward towards ball-1 with a speed 14 \(\mathrm{m} / \mathrm{s}\) from a point \(21 \mathrm{~m}\) below the top of building. How far will the ball-1 have dropped when it passes ball-2. (Assume, acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\).)

1 \(\frac{45}{4} \mathrm{~m}\)
2 \(\frac{52}{6} \mathrm{~m}\)
3 \(\frac{37}{2} \mathrm{~m}\)
4 \(\frac{25}{2} \mathrm{~m}\)
Motion in One Dimensions

141831 Assertion : When a body is dropped or thrown upward from the same height, it would reach the ground at the same time.
Reason : Direction of projection does not affect the time of flight.

1 If both assertion and reason are true and reason is the correct explanation of assertion.
2 If both assertion and reason are true but reason is not the correct explanation of assertion.
3 If assertion is true but reason is false.
4 If both assertion and reason are false.
Motion in One Dimensions

141836 A ball is thrown vertically upward from the ground at time, \(t=0 \mathrm{~s}\). It passes the top of a tower at \(t=3 \mathrm{~s}\) and \(2 \mathrm{~s}\) later it reaches and its maximum height. The height of the tower is (Acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(105 \mathrm{~m}\)
2 \(125 \mathrm{~m}\)
3 \(85 \mathrm{~m}\)
4 \(65 \mathrm{~m}\)
Motion in One Dimensions

141837 A ball is projected vertically up from ground. Boy A standing at the window of first floor of a nearly building observes that the time interval between the ball crossing him while going up and the ball crossing him while going down is 2s. Another boy B standing on the second floor notices that time interval between the ball passing him twice, during up motion and down motion is \(1 \mathrm{~s}\). Calculate the difference between the vertical positions of boy \(B\) and boy \(A\) (Assume, acceleration due to gravity, \(g=10\) \(\mathbf{m} / \mathbf{s}^{2}\) )

1 \(8.45 \mathrm{~m}\)
2 \(3.75 \mathrm{~m}\)
3 \(4.25 \mathrm{~m}\)
4 \(2.50 \mathrm{~m}\)
Motion in One Dimensions

141834 A gun and a target are at the same horizontal level separated by a distance of \(600 \mathrm{~m}\). The bullet is fired from the gun with a velocity of \(500 \mathrm{~ms}^{-1}\). In order to hit the target, the gun should be aimed to a height \(h\) above the target. The value of \(h\) is
(Acceleration due to gravity, \(g=10 \mathbf{~ m s}^{-\mathbf{2}}\) )

1 \(2.4 \mathrm{~m}\)
2 \(3.6 \mathrm{~m}\)
3 \(7.2 \mathrm{~m}\)
4 \(10.8 \mathrm{~m}\)
Motion in One Dimensions

141835 Ball-1 is dropped from the top of a building from rest. At the same moment, ball-2 is thrown upward towards ball-1 with a speed 14 \(\mathrm{m} / \mathrm{s}\) from a point \(21 \mathrm{~m}\) below the top of building. How far will the ball-1 have dropped when it passes ball-2. (Assume, acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\).)

1 \(\frac{45}{4} \mathrm{~m}\)
2 \(\frac{52}{6} \mathrm{~m}\)
3 \(\frac{37}{2} \mathrm{~m}\)
4 \(\frac{25}{2} \mathrm{~m}\)
Motion in One Dimensions

141831 Assertion : When a body is dropped or thrown upward from the same height, it would reach the ground at the same time.
Reason : Direction of projection does not affect the time of flight.

1 If both assertion and reason are true and reason is the correct explanation of assertion.
2 If both assertion and reason are true but reason is not the correct explanation of assertion.
3 If assertion is true but reason is false.
4 If both assertion and reason are false.
Motion in One Dimensions

141836 A ball is thrown vertically upward from the ground at time, \(t=0 \mathrm{~s}\). It passes the top of a tower at \(t=3 \mathrm{~s}\) and \(2 \mathrm{~s}\) later it reaches and its maximum height. The height of the tower is (Acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(105 \mathrm{~m}\)
2 \(125 \mathrm{~m}\)
3 \(85 \mathrm{~m}\)
4 \(65 \mathrm{~m}\)
Motion in One Dimensions

141837 A ball is projected vertically up from ground. Boy A standing at the window of first floor of a nearly building observes that the time interval between the ball crossing him while going up and the ball crossing him while going down is 2s. Another boy B standing on the second floor notices that time interval between the ball passing him twice, during up motion and down motion is \(1 \mathrm{~s}\). Calculate the difference between the vertical positions of boy \(B\) and boy \(A\) (Assume, acceleration due to gravity, \(g=10\) \(\mathbf{m} / \mathbf{s}^{2}\) )

1 \(8.45 \mathrm{~m}\)
2 \(3.75 \mathrm{~m}\)
3 \(4.25 \mathrm{~m}\)
4 \(2.50 \mathrm{~m}\)
Motion in One Dimensions

141834 A gun and a target are at the same horizontal level separated by a distance of \(600 \mathrm{~m}\). The bullet is fired from the gun with a velocity of \(500 \mathrm{~ms}^{-1}\). In order to hit the target, the gun should be aimed to a height \(h\) above the target. The value of \(h\) is
(Acceleration due to gravity, \(g=10 \mathbf{~ m s}^{-\mathbf{2}}\) )

1 \(2.4 \mathrm{~m}\)
2 \(3.6 \mathrm{~m}\)
3 \(7.2 \mathrm{~m}\)
4 \(10.8 \mathrm{~m}\)
Motion in One Dimensions

141835 Ball-1 is dropped from the top of a building from rest. At the same moment, ball-2 is thrown upward towards ball-1 with a speed 14 \(\mathrm{m} / \mathrm{s}\) from a point \(21 \mathrm{~m}\) below the top of building. How far will the ball-1 have dropped when it passes ball-2. (Assume, acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\).)

1 \(\frac{45}{4} \mathrm{~m}\)
2 \(\frac{52}{6} \mathrm{~m}\)
3 \(\frac{37}{2} \mathrm{~m}\)
4 \(\frac{25}{2} \mathrm{~m}\)
Motion in One Dimensions

141831 Assertion : When a body is dropped or thrown upward from the same height, it would reach the ground at the same time.
Reason : Direction of projection does not affect the time of flight.

1 If both assertion and reason are true and reason is the correct explanation of assertion.
2 If both assertion and reason are true but reason is not the correct explanation of assertion.
3 If assertion is true but reason is false.
4 If both assertion and reason are false.
Motion in One Dimensions

141836 A ball is thrown vertically upward from the ground at time, \(t=0 \mathrm{~s}\). It passes the top of a tower at \(t=3 \mathrm{~s}\) and \(2 \mathrm{~s}\) later it reaches and its maximum height. The height of the tower is (Acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(105 \mathrm{~m}\)
2 \(125 \mathrm{~m}\)
3 \(85 \mathrm{~m}\)
4 \(65 \mathrm{~m}\)
Motion in One Dimensions

141837 A ball is projected vertically up from ground. Boy A standing at the window of first floor of a nearly building observes that the time interval between the ball crossing him while going up and the ball crossing him while going down is 2s. Another boy B standing on the second floor notices that time interval between the ball passing him twice, during up motion and down motion is \(1 \mathrm{~s}\). Calculate the difference between the vertical positions of boy \(B\) and boy \(A\) (Assume, acceleration due to gravity, \(g=10\) \(\mathbf{m} / \mathbf{s}^{2}\) )

1 \(8.45 \mathrm{~m}\)
2 \(3.75 \mathrm{~m}\)
3 \(4.25 \mathrm{~m}\)
4 \(2.50 \mathrm{~m}\)