Dhiren M Doshi Solutions for Chapter: Gravitation, Exercise 3: Check Your Progress

In the equations of motion, acceleration $\left(a\right)$ and distance $\left(\mathrm{s}\right)$ are replaced by what terms for freely falling bodies?

What is the initial velocity when a body is dropped from a certain height?

Which of the following is not the equation of motion for a freely falling body ?

When a body is thrown vertically upwards, its final velocity becomes _____.

A stone dropped from the roof of a building takes $4$ seconds to reach the ground. Calculate the height of the building. (take $\mathrm{g}=10 \mathrm{m}/{\mathrm{s}}^2$)

A stone is dropped from the edge of a roof. How fast will it move towards the end of $7.9 \mathrm{m}$? $(\mathrm{g}=9.8 {\mathrm{ms}}^{-2})$

A body is thrown vertically upwards and rises to a height of $20 \mathrm{m}$. Calculate

a. the velocity with which the body was thrown upwards and

b. the time taken by the body to reach the highest point. (taken $\mathrm{g}=10 \mathrm{m}/{\mathrm{s}}^2$)

A man is standing on the top of a $60 \mathrm{m}$ high tower. He throws a ball vertically upwards with a velocity of $20 \mathrm{m}/\mathrm{s}$. After what time will the ball pass him going downwards? How long after its release will the ball reach the ground? (take $\mathrm{g}=10 \mathrm{m}/{\mathrm{s}}^2$)