Question

A girl throws a water filled balloon on the eve of holi with a velocity $12m{s}^{-1}$ at an angle of ${60}^{\circ }$ with the horizontal. It hits a car at the same height (of throw) approaching her at $15m{s}^{-1}$. Find the distance of the car from her.

• A. $13m$
• B. $31m$
• C. $44m$
• D. $18m$

Answer 1

The correct option is C $44m$

$t=\frac{2Vsin\theta }{g}=2.12s$
Now, Range of projectile
$R=\frac{V^{2}sin2\theta }{g}=12.72m$
Now, Distance traveled by car,
$d=2.12\times 15=31.8m$
Now, Distance of car from girl$=12.72+31.8\cong 44m$