Kinematics
Topics
Chapter tests
See all →Top questions
See all →- In some appropriate units, time (t) and position (x) relation of a moving particle is given by t = x^2 + x. The acceleration of the particle is Answer: 2. -2/(2x+1)³ Key idea: differentiate t(x) to get velocity, then use a=v dv/dx . dt/dx=2x+1⇒ v=dx/dt=1/2x+1 a=vdv/dx=1/2x+1·(-2/(2x+... 1
- Two cities X and Y are connected by a regular bus service with a bus leaving in either direction every T min. A girl is driving scooty with a speed of 60 km/h in the direction X to Y notices that a bus goes past her every 30 minutes in the direction… Answer: 4. 15 min, 120 km/h Key idea: buses in one direction are spaced vT apart. The girl meets them at the rate set by the relative speed.... 1
- The velocity (v) - time (t) plot of the motion of a body is shown below :The acceleration (a) - time (t) graph that best suits this motion is : Answer: 4. graph (4) Key idea: Acceleration is the slope of the v - t graph. Initially v=0 and flat: a=0 . Straight rise: constant positive... 1
- A particle moving with uniform speed in a circular path maintains : Answer: 1. varying velocity and varying acceleration. Key idea: Velocity and acceleration are vectors, so a change in direction counts as a... 1
- A bullet from a gun is fired on a rectangular wooden block with velocity u. When bullet travels 24 cm through the block along its length horizontally, velocity of bullet becomes u/3. Then it further penetrates into the block in the same direction bef… Answer: 2. 27 cm Assume a constant resistive force, so deceleration a is constant. Use v²=u²-2as . First 24 cm: (u/3)²=u²-2a(24)⇒ 48a=8u²/9⇒... 1
- A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity 4 m s^-1. The ball strikes the water surface after 4 s. The height of bridge above water surface is (Take g=10 m s^-2… Answer: 4. 64 m Take upward as positive. The ball starts with u=+4 m/s, and its displacement at the water is -h after 4 s. s=ut-1/2gt²⇒ -h=4... 1