Embibe Experts Solutions for Chapter: Projectile Motion, Exercise 2: Exercise 2

A boy standing on the foothpath tosses a ball straight up and catches it. The driver of a car passing by moving with uniform velocity sees this.

The trajectory of the ball as seen by the driver will be

According to the quantum theory, a photon of electromagnetic radiation of frequency $v$ has energy $E=hv$ where $h$ is known as Planck's constant. According to the theory of relativity, a particle of mass $m$ has equivalent energy $E=m{c}^2$, where $c$ is speed of light. Thus, a photon can be treated as a particle having effective mass $m=\frac{hv}{c^2}$. If a flash of light is sent horizontally in earth's gravitational field, then photons while travelling a horizontal distance $d$ would fall through a distance given by -

A firecracker is thrown with velocity of $30 \mathrm{m} {\mathrm{s}}^{-1}$ in a direction which makes an angle of $75°$ with the vertical axis. At some point on its trajectory, the firecracker split into two identical pieces in such a way that one piece falls $27 \mathrm{m}$ far from the shooting point. Assuming that all trajectories are contained in the same plane, how far will the other piece fall from the shooting point ? (Take $\mathrm{g}=10 {\mathrm{ms}}^{-2}$ and neglect air resistance)