Dhiren M Doshi Solutions for Chapter: Motion, Exercise 5: Check Your Progress

Under what circumstances do the following hold good for a body?

$v=0$

Under what circumstances do the following hold good for a body?

$a=0$

Which equation of motion can be used to find the distance $s$ if $u$, $v$ and $a$ are given (known).

When brakes were applied to a car, it retarded uniformly at $5 \mathrm{m}/{\mathrm{s}}^2$ and stopped after $15 \mathrm{s}$. Find the initial velocity of the car.

A bullet is fired into a wall with a velocity of $50 \mathrm{m}/\mathrm{s}$. If the bullet stops at a depth of $10 \mathrm{cm}$ inside the wall, find the retardation provided by the wall.

A car travelling at $18 \mathrm{km}/\mathrm{h}$ speeds up to $54 \mathrm{km}/\mathrm{h}$ in $5$ seconds. What is its acceleration?

A moving train is brought to rest within $20$ seconds by applying brakes. Find the initial velocity if the retardation due to application of brakes is $2 \mathrm{m}/{\mathrm{s}}^2$.

A racing car has a uniform acceleration of $4 \mathrm{m}/{\mathrm{s}}^2$. How much distance will it cover in $10$ seconds after the start?