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A projectile is fixed on a horizontal ground. Coeffient of restituion between the projectile and the ground is e. If a,b and c be the ratio of time of flight $[\frac{T_{1}}{T_{2}}]$ maximum height $[\frac{H_{1}}{H_{2}}]$ and horizontal range $[\frac{R_{1}}{R_{2}}]$ in first two collisions with the ground. Then

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a=1e

b=1e2

c=1e

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detailed solution

Correct option is D

T1=2usinθg T2=e(2usinθ)g T2=eT1 T1T2=1e H2=e2(usinθ)22s=e2H1 H1H2=1e2 R1R2=2(usinθ)gcosθ2e(usinθ)gcosθ=1e ∴R1R2=1e

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A projectile is fixed on a horizontal ground. Coeffient of restituion between the projectile and the ground is e. If a,b and c be the ratio of time of flight [T1T2] maximum height [H1H2] and horizontal range [R1R2] in first two collisions with the ground. Then

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