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Question

A boy throws a water-filled balloon at an angle of 53 with a speed of 10 m/s. A car is advancing towards the boy at a constant speed of 5 m/s. If the balloon is to hit the car, how far away should the car be when the balloon is thrown? (g=10 ms2)

A
8 m
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B
9.6 m
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C
15.6 m
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D
17.6 m
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Solution

The correct option is D 17.6 m
InitiallyFinally

Given u=10 m/s,θ=53 So,
Time of flight, T=2usinθg=2×10×4510=85 s
Let the point of projection and point at which balloon hits the car be at same level, then rangeR=u2sin2θg=10010×2×45×35=485=9.6 m
Le the car travels distance xc towards boy before balloon hits the car, then
xc=vcT=5×85=8 m
Car's initial position, R+xc=9.6+8=17.6 m

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