Priyanka B Solutions for Chapter: Gravitation, Exercise 3: Practice Problems

A stone is dropped from the top of a tower $44.1 \mathrm{m}$ high. How long does it take and what is its velocity just before reaching the ground? $(g = 9.8 {\mathrm{ms}}^{-2})$

A stone dropped into a well hits the water in $3$ seconds. Find the depth of the well and velocity with which the stone hits the water. Take $g = 9.8 {\mathrm{ms}}^{-2}$

A stone after falling freely under gravity for $1$ second strikes a pane of glass held horizontally. In breaking through the pane, the stone loses half of its velocity. How far will it fall in the next $2$ seconds? $(g = 9.80 {\mathrm{ms}}^{-2})$.

A body is project upwards with a velocity of $29.4 {\mathrm{ms}}^{-1}$. Calculate:

i) the maximum height attained;

ii) the time taken to reach the maximum height;

iii) the time taken to reach the ground.

Given $g=9.8 {\mathrm{ms}}^{-2}$ 

A stone falls from the roof of a building and reaches the ground $3 \mathrm{s}$ later. How high is the roof of the building from the ground? With what velocity will the stone strike ground?

A stone is dropped freely from the top of a building, $40 \mathrm{m}$ high. Calculate:

i) time taken by it to reach the ground;

ii) its speed on reaching the ground. ($g=9.8 {\mathrm{ms}}^{-2}$)

A cricket ball is thrown vertically upwards. It reaches the maximum height of $5 \mathrm{m}$.

i) What was its initial speed?

ii) Calculate the time taken by the ball to reach the highest point. ($g=10 {\mathrm{ms}}^{-2}$)

A ball thrown vertically upwards rises $250 \mathrm{m}$ and then begins to fall. With what velocity it was projected? ($g=9.8 \mathrm{m}/{\mathrm{s}}^2$)