Question

A person standing on a truck moving with a uniform velocity of 14.7 ms^-1 on a horizontal road throws a ball in such a way that it returns to him after 4s. Find the speed and angle of projection as seen by a man on the road ______.

पर्याय

• 19.6 ms^-1, vertical

• 24.5 ms^-1, vertical

• 19.6 ms^-1, 53° with the road

• 24.5 ms^-1, 53° with the road

Answer 1

A person standing on a truck moving with a uniform velocity of 14.7 ms^-1 on a horizontal road throws a ball in such a way that it returns to him after 4s. Find the speed and angle of projection as seen by a man on the road 24.5 ms^-1, 53° with the road.

Explanation:

${\displaystyle u_x=14.7}$ m/s;

${\displaystyle u_y=9.8\times 2=19.6}$ m/s

${\displaystyle u=\sqrt{{\left(14.7\right)}^2+{\left(19.6\right)}^2}}$

= 24.5 m/s

${\displaystyle \tan \theta =\frac{19.6}{14.7}=\frac{4}{3}}$

⇒ ${\displaystyle \theta ={53}^{\circ }}$