Question

A boy travelling in an open car moving on a levelled road with constant speed tosses a ball vertically up in the air and catches it back. Sketch the motion of the ball as observed by a boy standing on the footpath. Give explanation to support your diagram.

Answer 1

Car is moving in horizontal direction with constant speed.
Let us assume this speed be u and toss speed of coin be $v$.
vbc=v j


${\overrightarrow{v}}_{bc}=v\hat{j}$
${\overrightarrow{v}}_c=u\hat{i}$
${\overrightarrow{v}}_b-{\overrightarrow{v}}_c=v\hat{j}$
${\overrightarrow{v}}_b={\overrightarrow{v}}_0=u\hat{i}+v\hat{j}$

This is simply a projectile motion with respect to ground frame at angle $\tan \theta =\left(\frac{v}{u}\right)$ Motion of a ball with respect to ground:


Final answer: