Motion - Mechanics - Physics Previous Year Questions

A moving body is covering distances which are proportional to square of the time. Then, the acceleration of the body is

A cricket player hit a ball like a projectile but the fielder caught the ball after 2 second. The maximum height reached by a ball is (g = 10 m/s²)

Two bodies '\(\mathrm{A}\)' and '\(\mathrm{B}\)' start from the same point at the same instant and move along a straight line. 'A' moves with uniform acceleration (a) and 'B' moves with uniform velocity (V). They meet after time 't'. The value of 't' is

A body at rest falls through a height 'h' with velocity 'V'. If it has to fall down further for its velocity to become three times, the distance travelled in that interval is

A bomb is dropped by an aeroplane flying horizontally with a velocity \(200 \mathrm{~km} / \mathrm{hr}\) and at a height of \(980 \mathrm{~m}\). At the time of dropping a bomb, the distance of the aeroplane from the target on the ground to hit directly is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^2\right)\)

A driver applies the brakes on seeing the red traffic signal \(400 \mathrm{~m}\) ahead. At the time of applying the brakes, the vehicle was moving with \(15 \mathrm{~m} / \mathrm{s}\) and retarding at \(0.3 \mathrm{~m} / \mathrm{s}^2\). The distance covered by the vehicle from the traffic light 1 minute after the application of brakes is

A shell is fired at an angle of \(30^{\circ}\) to the horizontal with velocity \(196 \mathrm{~m} / \mathrm{s}\). The time of flight is

$$\left[\sin 30^{\circ}=\frac{1}{2}=\cos 60^{\circ}\right]$$

Two trains, each \(30 \mathrm{~m}\) long are travelling in opposite directions with velocities \(5 \mathrm{~m} / \mathrm{s}\) and \(10 \mathrm{~m} / \mathrm{s}\). They will cross after

A body is released from the top of a tower '\(\mathrm{H}\)' metre high. It takes \(t\) second to reach the ground. The height of the body \(\frac{t}{2}\) second after release is

Two cars A and B start from a point at the same time in a straight line and their positions are represented by \(\mathrm{R}_{\mathrm{A}}(\mathrm{t})=\) at \(+\mathrm{bt}^2\) and \(\mathrm{R}_{\mathrm{B}}(\mathrm{t})=x \mathrm{t}-\mathrm{t}^2\). At what time do the cars have same velocity?

A bullet is fired on a target with velocity '\(\mathrm{V}\)'. Its velocity decreases from '\(\mathrm{V}\)' to '\(\mathrm{V} / 2\)' when it penetrates \(30 \mathrm{~cm}\) in a target. Through what thickness it will penetrate further in the target before coming to rest?

A ball is projected vertically upwards from ground. It reaches a height '\(h\)' in time \(t_1\), continues its motion and then takes a time \(t_2\) to reach ground. The height $h$ in terms of \(g, t_1\) and \(\mathrm{t}_2\) is \((\mathrm{g}=\) acceleration due to gravity)

Two bodies \(A\) and \(B\) start from the same point at the same instant and move along a straight line. body \(A\) moves with uniform acceleration \(a\) and body \(B\) moves with uniform velocity \(v\). They meet after time \(t\). The value of \(t\) is

A small steel ball is dropped from a height of \(1.5 \mathrm{~m}\) into a glycerine jar. The ball reaches the bottom of the jar \(1.5 \mathrm{~s}\) after it was dropped. If the retardation is \(2.66 \mathrm{~m} / \mathrm{s}^2\), the height of the glycerine in the jar is about (acceleration due to gravity \(g=9.8 \mathrm{~m} / \mathrm{s}^2\) )

A large number of bullets are fired in all directions with same speed '\(U\)'. The maximum area on the ground on which the bullets will spread is

Which one of the following statements is Wrong?

The position '\(x\)' of a particle varies with a time as \(x=a t^2-b t^3\) where '\(a\)' and '\(b\)' are constants. The acceleration of the particle will be zero at

A vehicle runs on a straight road of length 'L'. It travels half the distance with speed V and the remaining distance with speed $\frac{\mathrm{V}}{3}$. Its average speed is

Two cars start from a point at the same time in a straight line and their positions are represented by $x_1(t)=a t+b t^2$ and $x_2(t)=F t-t^2$. At what time do the cars have the same velocity?

A bullet is fired on a target with velocity V . Its velocity decreases from V to $\mathrm{V} / 2$. When it penetrates 30 cm in a target. Through what thickness it will penetrate further in the target before coming to rest?