Motion in a Straight Line
9 Board Physics previous year questions on Motion in a Straight Line — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.
A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in \(t_1\). If it is projected vertically downwards from the same point with the same speed, it reaches the ground in \(t_2\). Time required to reach the ground, if it is dropped from the top of the tower, is :
[JEE Main 2024, 6 Apr (Shift 2)]
\(\sqrt{{t}_{1}{t}_{2}}\)
Case 1: \(h=-u{t}_{1}+\frac{1}{2}g{t}_{1}^{2}\) ( downward taken positive)
Case 2 \(h=u{t}_{2}+\frac{1}{2}g{t}_{2}^{2}\)
$$\begin{aligned}& \text { } t_1=\frac{u+\sqrt{u^2+2 g h}}{g} \\& t_2=\frac{-u+\sqrt{u^2+2 g h}}{g} \\& \text{Case 3}\\ t=\frac{\sqrt{2 g h}}{g} \\& t_1 t_2=\frac{\left(u^2+2 g h\right)-u^2}{g^2}=\frac{2 g h}{g^2}=t^2 \\& \Rightarrow t=\sqrt{t_1 t_2}\end{aligned}$$
A satellite is nine times closer to earth compared to moon. Time period of moon is 27 days then period of satellite is
(Shift - II Memory Based)
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A satellite is nine times closer to earth compared to moon. Time period of moon is 27 days then period of satellite is
(Shift - II Memory Based)
Options are free to see. Unlock the correct answer and full explanation with Pass.
A particle is moving along \(x\)-axis with its position (x) varying with time (t) as \(x=\alpha {t}^{4}+\beta {t}^{2}+\gamma t+\delta\). The ratio of its initial velocity to its initial acceleration, respectively, is:
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Position of an ant ( \(S\) in metres) moving in \(Y-Z\) plane is given by \(S=2 t^2 \hat{j}+5 \hat{k}\) (where \(t\) is in second). The magnitude and direction of velocity of the ant at \(t=1 s\) will be :
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A particle moving in a straight line covers half the distance with speed \(6\mathrm{m}/\mathrm{s}\). The other half is covered in two equal time intervals with speeds \(9\mathrm{m}/\mathrm{s}\) and \(15\mathrm{m}/\mathrm{s}\) respectively. The average speed of the particle during the motion is :
[JEE Main 2024, 9 Apr (Shift 1)]
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Position of an ant ( \(S\) in metres) moving in \(Y-Z\) plane is given by \(S=2 t^2 \hat{j}+5 \hat{k}\) (where \(t\) is in second). The magnitude and direction of velocity of the ant at \(t=1 s\) will be :
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A particle moving in a straight line covers half the distance with speed \(6\mathrm{m}/\mathrm{s}\). The other half is covered in two equal time intervals with speeds \(9\mathrm{m}/\mathrm{s}\) and \(15\mathrm{m}/\mathrm{s}\) respectively. The average speed of the particle during the motion is :
[JEE Main 2024, 9 Apr (Shift 1)]
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A bullet is fired into a fixed target looses one third of its velocity after travelling \(4 cm\). It penetrates further \(D \times 10^{-3} m\) before coming to rest. The value of \(D\) is :
[JEE Main 2024, 27 Jan (Shift 2)]
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