# Motion in straight line practice problems for class 11

This article is about Motion in straight line practice problems. You can practice these problems after you finished your Motion in straight line chapter or while doing the chapter. By doing these problems you can test your skills. On an average you should be able to finish this Motion in straight line practice problems in 1 hour time.
We have very good notes and other study material on this chapter Motion in a straight line.

Links to other such problems are:-

Some of the problems as given in above links are of JEE/KVPY leve.

## Motion in straight line practice problems

Question 1 Distinguish between average acceleration and instantaneous acceleration.                          (2)

Question 2 Can a body have constant speed and still have a varying velocity.                    (1)

Question 3 Is it possible for a body to be accelerated without speeding up or slowing down. If so give an example (1)

Question 4 A man standing on the edge of a cliff throws a ball straight up with a speed of 8 Km/h and then throws a ball down with a speed of 8 Km/h from the same position. What is the ratio of speeds with which the ball hit the ground.

Question 5 When an observer is standing on earth, the tree and houses appear stationary to him. However, when he is sitting in a moving train, all these objects appear to move in backward direction. Why?

Question 6 Derive the following equations of motion for an object moving in constant acceleration along a straight line.

(i) $v=v_0+at$

(ii) $s=v_0+frac{1}{2}at^2$

(iii) $v^2=v_0^{2}+2as$

(iv) $s_{n}=v_0+frac{a}{2}(2n+1}$

[ If you get extra time try to derive above equations using Integration method]

Question 7 The acceleration experienced by a boat after the engine is cut off , is given by

$frac{dv}{dt}=-Kv^3$

where $K$ is a constant. If $v_0$ is the magnitude of velocity at the cut off , find the magnitude of the velocity at time $t$ after the cut off.

Question 8 The relation between $t$ and distance $x$ is $t=ax^2+bx$ where $a$ and $b$ are constants. Express the instantaneous acceleration in terms of instantaneous velocity.

Question 9 If in case of a motion , displacement is directly proportional to the square of the time elapsed, what do you think about its acceleration. Would it be constant or variable. Justify your answer.

Question 10 A body covers one-third of its journey with speed $u$, next one third with a speed $v$ and last one third with a speed $w$. Calculate the average speed of the body during the entire journey.

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