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Question: A girl throws a water filled balloon on the eve of Holi with a velocity 12 ms<sup>-1</sup> at an ang...

A girl throws a water filled balloon on the eve of Holi with a velocity 12 ms-1 at an angle of 600 with the horizontal. It hits a car at the same height (of throw) approaching her at 15 ms-1. Find the distance of the car from her.

A

13 m

B

31 m

C

44 m

D

18 m

Answer

44 m

Explanation

Solution

T = 2usinθg=2×12×(3/2)10=2.07s;\frac{2u\sin\theta}{g} = \frac{2 \times 12 \times \left( \sqrt{3}/2 \right)}{10} = 2.07s;

R = usinθg=2×12×310×2=13m\frac{u\sin\theta}{g} = \frac{2 \times 12 \times \sqrt{3}}{10 \times 2} = 13ms

Distance of car from here = 13 + 15(2.07) = 44 m