03. Equation of Motion
Motion in One Dimensions

141722 Consider a vehicle moving with a velocity 54 \(\mathrm{km} / \mathrm{h}\). At a distance of \(400 \mathrm{~m}\), from the traffic light brakes are applied. The acceleration of the vehicle, after the application of brakes is \(0.3 \mathrm{~m} / \mathrm{s}^{2}\). The vehicle's position relative to the traffic light is

1 \(25 \mathrm{~m}\)
2 \(375 \mathrm{~m}\)
3 \(425 \mathrm{~m}\)
4 \(30 \mathrm{~m}\)
Motion in One Dimensions

141723 A particle starts from origin at time \(t=0\) and moves in positive \(x\)-direction. Its velocity \(v\) varies with times as \(v=10 t \hat{i} \mathrm{~cm} / \mathrm{s}\). The distance covered by the particle in \(8 \mathrm{~s}\) will be

1 \(320 \mathrm{~cm}\)
2 \(80 \mathrm{~cm}\)
3 \(120 \mathrm{~cm}\)
4 \(640 \mathrm{~cm}\)
Motion in One Dimensions

141724 A car starts from rest and moves with a constant acceleration of \(5 \mathrm{~m} / \mathrm{s}^{2}\) for \(10 \mathrm{~s}\) before the driver applies the brake. It then decelerates for \(5 \mathrm{~s}\) before coming to rest, then the average speed of the car over the entire journey of the car is

1 \(23 \mathrm{~m} / \mathrm{s}\)
2 \(30 \mathrm{~m} / \mathrm{s}\)
3 \(33 \mathrm{~m} / \mathrm{s}\)
4 \(25 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141725 A body travels in a straight line from point \(A\) to point \(B\) with an initial velocity zero and uniform acceleration, covering \(1 \mathrm{~m}\) during the first second and \(39 \mathrm{~m}\) during the last second. The distance between \(A\) and \(B\) in metre is

1 50
2 100
3 390
4 400
Motion in One Dimensions

141722 Consider a vehicle moving with a velocity 54 \(\mathrm{km} / \mathrm{h}\). At a distance of \(400 \mathrm{~m}\), from the traffic light brakes are applied. The acceleration of the vehicle, after the application of brakes is \(0.3 \mathrm{~m} / \mathrm{s}^{2}\). The vehicle's position relative to the traffic light is

1 \(25 \mathrm{~m}\)
2 \(375 \mathrm{~m}\)
3 \(425 \mathrm{~m}\)
4 \(30 \mathrm{~m}\)
Motion in One Dimensions

141723 A particle starts from origin at time \(t=0\) and moves in positive \(x\)-direction. Its velocity \(v\) varies with times as \(v=10 t \hat{i} \mathrm{~cm} / \mathrm{s}\). The distance covered by the particle in \(8 \mathrm{~s}\) will be

1 \(320 \mathrm{~cm}\)
2 \(80 \mathrm{~cm}\)
3 \(120 \mathrm{~cm}\)
4 \(640 \mathrm{~cm}\)
Motion in One Dimensions

141724 A car starts from rest and moves with a constant acceleration of \(5 \mathrm{~m} / \mathrm{s}^{2}\) for \(10 \mathrm{~s}\) before the driver applies the brake. It then decelerates for \(5 \mathrm{~s}\) before coming to rest, then the average speed of the car over the entire journey of the car is

1 \(23 \mathrm{~m} / \mathrm{s}\)
2 \(30 \mathrm{~m} / \mathrm{s}\)
3 \(33 \mathrm{~m} / \mathrm{s}\)
4 \(25 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141725 A body travels in a straight line from point \(A\) to point \(B\) with an initial velocity zero and uniform acceleration, covering \(1 \mathrm{~m}\) during the first second and \(39 \mathrm{~m}\) during the last second. The distance between \(A\) and \(B\) in metre is

1 50
2 100
3 390
4 400
Motion in One Dimensions

141722 Consider a vehicle moving with a velocity 54 \(\mathrm{km} / \mathrm{h}\). At a distance of \(400 \mathrm{~m}\), from the traffic light brakes are applied. The acceleration of the vehicle, after the application of brakes is \(0.3 \mathrm{~m} / \mathrm{s}^{2}\). The vehicle's position relative to the traffic light is

1 \(25 \mathrm{~m}\)
2 \(375 \mathrm{~m}\)
3 \(425 \mathrm{~m}\)
4 \(30 \mathrm{~m}\)
Motion in One Dimensions

141723 A particle starts from origin at time \(t=0\) and moves in positive \(x\)-direction. Its velocity \(v\) varies with times as \(v=10 t \hat{i} \mathrm{~cm} / \mathrm{s}\). The distance covered by the particle in \(8 \mathrm{~s}\) will be

1 \(320 \mathrm{~cm}\)
2 \(80 \mathrm{~cm}\)
3 \(120 \mathrm{~cm}\)
4 \(640 \mathrm{~cm}\)
Motion in One Dimensions

141724 A car starts from rest and moves with a constant acceleration of \(5 \mathrm{~m} / \mathrm{s}^{2}\) for \(10 \mathrm{~s}\) before the driver applies the brake. It then decelerates for \(5 \mathrm{~s}\) before coming to rest, then the average speed of the car over the entire journey of the car is

1 \(23 \mathrm{~m} / \mathrm{s}\)
2 \(30 \mathrm{~m} / \mathrm{s}\)
3 \(33 \mathrm{~m} / \mathrm{s}\)
4 \(25 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141725 A body travels in a straight line from point \(A\) to point \(B\) with an initial velocity zero and uniform acceleration, covering \(1 \mathrm{~m}\) during the first second and \(39 \mathrm{~m}\) during the last second. The distance between \(A\) and \(B\) in metre is

1 50
2 100
3 390
4 400
Motion in One Dimensions

141722 Consider a vehicle moving with a velocity 54 \(\mathrm{km} / \mathrm{h}\). At a distance of \(400 \mathrm{~m}\), from the traffic light brakes are applied. The acceleration of the vehicle, after the application of brakes is \(0.3 \mathrm{~m} / \mathrm{s}^{2}\). The vehicle's position relative to the traffic light is

1 \(25 \mathrm{~m}\)
2 \(375 \mathrm{~m}\)
3 \(425 \mathrm{~m}\)
4 \(30 \mathrm{~m}\)
Motion in One Dimensions

141723 A particle starts from origin at time \(t=0\) and moves in positive \(x\)-direction. Its velocity \(v\) varies with times as \(v=10 t \hat{i} \mathrm{~cm} / \mathrm{s}\). The distance covered by the particle in \(8 \mathrm{~s}\) will be

1 \(320 \mathrm{~cm}\)
2 \(80 \mathrm{~cm}\)
3 \(120 \mathrm{~cm}\)
4 \(640 \mathrm{~cm}\)
Motion in One Dimensions

141724 A car starts from rest and moves with a constant acceleration of \(5 \mathrm{~m} / \mathrm{s}^{2}\) for \(10 \mathrm{~s}\) before the driver applies the brake. It then decelerates for \(5 \mathrm{~s}\) before coming to rest, then the average speed of the car over the entire journey of the car is

1 \(23 \mathrm{~m} / \mathrm{s}\)
2 \(30 \mathrm{~m} / \mathrm{s}\)
3 \(33 \mathrm{~m} / \mathrm{s}\)
4 \(25 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141725 A body travels in a straight line from point \(A\) to point \(B\) with an initial velocity zero and uniform acceleration, covering \(1 \mathrm{~m}\) during the first second and \(39 \mathrm{~m}\) during the last second. The distance between \(A\) and \(B\) in metre is

1 50
2 100
3 390
4 400
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