04. Motion Under Gravity
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Motion in One Dimensions

141794 A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height \(h\). Find the ratio of the times in which it is at height \(\frac{h}{3}\) while going up and coming down respectively.

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

141795 A ball is released from a height \(h\). If \(t_{1}\) and \(t_{2}\) be the required time to complete first half and second half of the distance respectively. Then, choose the correct relation between \(t_{1}\) and \(t_{2}\).

1 \(t_{1}=(\sqrt{2}) t_{2}\)
2 \(\mathrm{t}_{1}=(\sqrt{2}-1) \mathrm{t}_{2}\)
3 \(t_{2}=(\sqrt{2}+1) t_{1}\)
4 \(\mathrm{t}_{2}=(\sqrt{2}-1) \mathrm{t}_{1}\)
Motion in One Dimensions

141796 A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws \(n\) balls per second, the maximum height the balls can reach is

1 \(g / 2 n\)
2 \(g / n\)
3 \(2 \mathrm{gn}\)
4 \(g / 2 n^{2}\)
Motion in One Dimensions

141797 When a ball is dropped into a lake from a height \(4.9 \mathrm{~m}\) above the water level, it hits the water with a velocity \(v\) and then sinks to the bottom with the constant velocity \(v\). It reaches the bottom of the lake \(4.0 \mathrm{~s}\) after it is dropped. The approximate depth of the lake is :

1 \(19.6 \mathrm{~m}\)
2 \(29.4 \mathrm{~m}\)
3 \(39.2 \mathrm{~m}\)
4 \(73.5 \mathrm{~m}\)
Motion in One Dimensions

141794 A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height \(h\). Find the ratio of the times in which it is at height \(\frac{h}{3}\) while going up and coming down respectively.

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

141795 A ball is released from a height \(h\). If \(t_{1}\) and \(t_{2}\) be the required time to complete first half and second half of the distance respectively. Then, choose the correct relation between \(t_{1}\) and \(t_{2}\).

1 \(t_{1}=(\sqrt{2}) t_{2}\)
2 \(\mathrm{t}_{1}=(\sqrt{2}-1) \mathrm{t}_{2}\)
3 \(t_{2}=(\sqrt{2}+1) t_{1}\)
4 \(\mathrm{t}_{2}=(\sqrt{2}-1) \mathrm{t}_{1}\)
Motion in One Dimensions

141796 A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws \(n\) balls per second, the maximum height the balls can reach is

1 \(g / 2 n\)
2 \(g / n\)
3 \(2 \mathrm{gn}\)
4 \(g / 2 n^{2}\)
Motion in One Dimensions

141797 When a ball is dropped into a lake from a height \(4.9 \mathrm{~m}\) above the water level, it hits the water with a velocity \(v\) and then sinks to the bottom with the constant velocity \(v\). It reaches the bottom of the lake \(4.0 \mathrm{~s}\) after it is dropped. The approximate depth of the lake is :

1 \(19.6 \mathrm{~m}\)
2 \(29.4 \mathrm{~m}\)
3 \(39.2 \mathrm{~m}\)
4 \(73.5 \mathrm{~m}\)
Motion in One Dimensions

141794 A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height \(h\). Find the ratio of the times in which it is at height \(\frac{h}{3}\) while going up and coming down respectively.

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

141795 A ball is released from a height \(h\). If \(t_{1}\) and \(t_{2}\) be the required time to complete first half and second half of the distance respectively. Then, choose the correct relation between \(t_{1}\) and \(t_{2}\).

1 \(t_{1}=(\sqrt{2}) t_{2}\)
2 \(\mathrm{t}_{1}=(\sqrt{2}-1) \mathrm{t}_{2}\)
3 \(t_{2}=(\sqrt{2}+1) t_{1}\)
4 \(\mathrm{t}_{2}=(\sqrt{2}-1) \mathrm{t}_{1}\)
Motion in One Dimensions

141796 A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws \(n\) balls per second, the maximum height the balls can reach is

1 \(g / 2 n\)
2 \(g / n\)
3 \(2 \mathrm{gn}\)
4 \(g / 2 n^{2}\)
Motion in One Dimensions

141797 When a ball is dropped into a lake from a height \(4.9 \mathrm{~m}\) above the water level, it hits the water with a velocity \(v\) and then sinks to the bottom with the constant velocity \(v\). It reaches the bottom of the lake \(4.0 \mathrm{~s}\) after it is dropped. The approximate depth of the lake is :

1 \(19.6 \mathrm{~m}\)
2 \(29.4 \mathrm{~m}\)
3 \(39.2 \mathrm{~m}\)
4 \(73.5 \mathrm{~m}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Motion in One Dimensions

141794 A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height \(h\). Find the ratio of the times in which it is at height \(\frac{h}{3}\) while going up and coming down respectively.

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

141795 A ball is released from a height \(h\). If \(t_{1}\) and \(t_{2}\) be the required time to complete first half and second half of the distance respectively. Then, choose the correct relation between \(t_{1}\) and \(t_{2}\).

1 \(t_{1}=(\sqrt{2}) t_{2}\)
2 \(\mathrm{t}_{1}=(\sqrt{2}-1) \mathrm{t}_{2}\)
3 \(t_{2}=(\sqrt{2}+1) t_{1}\)
4 \(\mathrm{t}_{2}=(\sqrt{2}-1) \mathrm{t}_{1}\)
Motion in One Dimensions

141796 A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws \(n\) balls per second, the maximum height the balls can reach is

1 \(g / 2 n\)
2 \(g / n\)
3 \(2 \mathrm{gn}\)
4 \(g / 2 n^{2}\)
Motion in One Dimensions

141797 When a ball is dropped into a lake from a height \(4.9 \mathrm{~m}\) above the water level, it hits the water with a velocity \(v\) and then sinks to the bottom with the constant velocity \(v\). It reaches the bottom of the lake \(4.0 \mathrm{~s}\) after it is dropped. The approximate depth of the lake is :

1 \(19.6 \mathrm{~m}\)
2 \(29.4 \mathrm{~m}\)
3 \(39.2 \mathrm{~m}\)
4 \(73.5 \mathrm{~m}\)