04. Motion Under Gravity
Motion in One Dimensions

141790 A balloon going upward with a velocity of \(12 \mathrm{~m} / \mathrm{s}\) is at a height of \(65 \mathrm{~m}\) from the earth's surface at any instant. Exactly at this instant a ball drops from it. How much time will the ball take in reaching the surface of earth?
\(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(5 \mathrm{~s}\)
2 \(6 \mathrm{~s}\)
3 \(7 \mathrm{~s}\)
4 \(8 \mathrm{~s}\)
Motion in One Dimensions

141791 A ball is dropped vertically from a height \(d\) above the ground. It hits the ground and bounces up vertically to a height \(\frac{d}{2}\). Neglecting subsequent motion and air resistance, its velocity \(v\) varies with the height \(h\) above the ground as

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141792 A ball is dropped from a high rise platform at \(t\) = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed \(v\). The two balls meet at \(t\) \(=18 \mathrm{~s}\). What is the value of \(v\) ? (take \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(75 \mathrm{~m} / \mathrm{s}\)
2 \(55 \mathrm{~m} / \mathrm{s}\)
3 \(40 \mathrm{~m} / \mathrm{s}\)
4 \(60 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141793 A balloon of mass \(M\) descends with an acceleration a (where \(\mathbf{a} \lt \mathbf{g}\) ). What mass need to be removed from the balloon, so that it starts ascending with acceleration, \(a\) ?

1 \(\frac{2 M}{(a+g)}\)
2 \(\frac{2 M a}{(a+g)}\)
3 \(\frac{2 M a}{(a-g)}\)
4 \(\frac{2 M a}{(g-a)}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Motion in One Dimensions

141790 A balloon going upward with a velocity of \(12 \mathrm{~m} / \mathrm{s}\) is at a height of \(65 \mathrm{~m}\) from the earth's surface at any instant. Exactly at this instant a ball drops from it. How much time will the ball take in reaching the surface of earth?
\(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(5 \mathrm{~s}\)
2 \(6 \mathrm{~s}\)
3 \(7 \mathrm{~s}\)
4 \(8 \mathrm{~s}\)
Motion in One Dimensions

141791 A ball is dropped vertically from a height \(d\) above the ground. It hits the ground and bounces up vertically to a height \(\frac{d}{2}\). Neglecting subsequent motion and air resistance, its velocity \(v\) varies with the height \(h\) above the ground as

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141792 A ball is dropped from a high rise platform at \(t\) = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed \(v\). The two balls meet at \(t\) \(=18 \mathrm{~s}\). What is the value of \(v\) ? (take \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(75 \mathrm{~m} / \mathrm{s}\)
2 \(55 \mathrm{~m} / \mathrm{s}\)
3 \(40 \mathrm{~m} / \mathrm{s}\)
4 \(60 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141793 A balloon of mass \(M\) descends with an acceleration a (where \(\mathbf{a} \lt \mathbf{g}\) ). What mass need to be removed from the balloon, so that it starts ascending with acceleration, \(a\) ?

1 \(\frac{2 M}{(a+g)}\)
2 \(\frac{2 M a}{(a+g)}\)
3 \(\frac{2 M a}{(a-g)}\)
4 \(\frac{2 M a}{(g-a)}\)
Motion in One Dimensions

141790 A balloon going upward with a velocity of \(12 \mathrm{~m} / \mathrm{s}\) is at a height of \(65 \mathrm{~m}\) from the earth's surface at any instant. Exactly at this instant a ball drops from it. How much time will the ball take in reaching the surface of earth?
\(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(5 \mathrm{~s}\)
2 \(6 \mathrm{~s}\)
3 \(7 \mathrm{~s}\)
4 \(8 \mathrm{~s}\)
Motion in One Dimensions

141791 A ball is dropped vertically from a height \(d\) above the ground. It hits the ground and bounces up vertically to a height \(\frac{d}{2}\). Neglecting subsequent motion and air resistance, its velocity \(v\) varies with the height \(h\) above the ground as

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141792 A ball is dropped from a high rise platform at \(t\) = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed \(v\). The two balls meet at \(t\) \(=18 \mathrm{~s}\). What is the value of \(v\) ? (take \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(75 \mathrm{~m} / \mathrm{s}\)
2 \(55 \mathrm{~m} / \mathrm{s}\)
3 \(40 \mathrm{~m} / \mathrm{s}\)
4 \(60 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141793 A balloon of mass \(M\) descends with an acceleration a (where \(\mathbf{a} \lt \mathbf{g}\) ). What mass need to be removed from the balloon, so that it starts ascending with acceleration, \(a\) ?

1 \(\frac{2 M}{(a+g)}\)
2 \(\frac{2 M a}{(a+g)}\)
3 \(\frac{2 M a}{(a-g)}\)
4 \(\frac{2 M a}{(g-a)}\)
Motion in One Dimensions

141790 A balloon going upward with a velocity of \(12 \mathrm{~m} / \mathrm{s}\) is at a height of \(65 \mathrm{~m}\) from the earth's surface at any instant. Exactly at this instant a ball drops from it. How much time will the ball take in reaching the surface of earth?
\(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(5 \mathrm{~s}\)
2 \(6 \mathrm{~s}\)
3 \(7 \mathrm{~s}\)
4 \(8 \mathrm{~s}\)
Motion in One Dimensions

141791 A ball is dropped vertically from a height \(d\) above the ground. It hits the ground and bounces up vertically to a height \(\frac{d}{2}\). Neglecting subsequent motion and air resistance, its velocity \(v\) varies with the height \(h\) above the ground as

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141792 A ball is dropped from a high rise platform at \(t\) = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed \(v\). The two balls meet at \(t\) \(=18 \mathrm{~s}\). What is the value of \(v\) ? (take \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(75 \mathrm{~m} / \mathrm{s}\)
2 \(55 \mathrm{~m} / \mathrm{s}\)
3 \(40 \mathrm{~m} / \mathrm{s}\)
4 \(60 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141793 A balloon of mass \(M\) descends with an acceleration a (where \(\mathbf{a} \lt \mathbf{g}\) ). What mass need to be removed from the balloon, so that it starts ascending with acceleration, \(a\) ?

1 \(\frac{2 M}{(a+g)}\)
2 \(\frac{2 M a}{(a+g)}\)
3 \(\frac{2 M a}{(a-g)}\)
4 \(\frac{2 M a}{(g-a)}\)