Q.A projectile is fired on a horizontal ground.Coefficient of restitution between the projectile and the ground is e.Let a,b and c be the ratio of time of flight T(1)/T(2), max. height (H(1) / H(2) ) and horizontal range (R1/R2) in first two collisions with the ground.Then:(Options)

a. a = 1/e;

b= 1/e ;

c=1/e^2(e square)

or d. all of the above.

Dear Raj

Effect of cofficient of restitution can be calculated be vertical velocity say v effect.

Time of flight  proportional v

max height prportional to v^2

Haorizontal range prportional to v

T(1)/T(2)=1/e

H(1)/H(2)=1/e^2

R(1)/R(2)=1/e

So option a is correct

All the best.

AKASH GOYAL

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