V K Sally and R Goel Solutions for Chapter: Motion, Exercise 14: Practice Problems

Two cars starting from a same point move in opposite directions along north-south, such that each covers a distance $x$ in the same time. What is the displacement of the car moving towards north?

An aeroplane flies $200 \mathrm{km}$ with a uniform speed of $300 \raisebox{1ex}{$\mathrm{km}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{h}$}\right.$ and then another $200 \mathrm{km}$ with a uniform speed of $240 \raisebox{1ex}{$\mathrm{km}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{h}$}\right.$. Calculate the average speed of the aeroplane.

A boy runs first $100 \mathrm{m}$ with a uniform speed of $8 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$ and the next $200 \mathrm{m}$ with a uniform speed of $5 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$. Calculate the average speed of the boy.

A train starting from rest, picks up a velocity of $20 \mathrm{m}/\mathrm{s} \mathrm{in} 200 \mathrm{s}$. It continues to move at the same rate for the next $500 \mathrm{s}$, and is then brought to rest in another $100 \mathrm{s}$, from plotting the velocity-time graph calculate the uniform rate of acceleration. Find the answer in $\mathrm{m}/{\mathrm{s}}^2$.

A ball thrown up vertically upwards with a velocity of $45 \mathrm{m}/\mathrm{s}$, returns back to the thrower in $6 \mathrm{s}$. Assuming that there is no air friction, plot a graph between velocity and time. From the graph, calculate the deceleration.

A ball thrown up vertically upwards with a velocity of $45 \mathrm{m}/\mathrm{s}$, returns back to the thrower in $6 \mathrm{s}$. Assuming that there is no air friction, plot a graph between velocity and time. From the graph, calculate the acceleration.

A ball thrown up vertically upwards with a velocity of $45 \mathrm{m}/\mathrm{s}$, returns back to the thrower in $6 \mathrm{s}$. Assuming that there is no air friction, plot a graph between velocity and time. From the graph, calculate the total distance covered by the ball.

A ball thrown up vertically upwards with a velocity of $45 \mathrm{m}/\mathrm{s}$, returns back to the thrower in $6 \mathrm{s}$. Assuming that there is no air friction, plot a graph between velocity and time. From the graph, calculate the average velocity.