A Ball Released from at rest time t = 0 hits the ground. If rebounded inelastically with a velocity 5ms^-1 and reaches the top at t = 1.5s . What is the net displacement of the ball from its initial position after 1.5s ?
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› Rebound velocity of the ball, v = 5m/s
Now, v = u+gt
5 = 0 + 10t
.°. t = 5/10 = 0.5
(This is the time taken in rebound of the object)
So, time taken to reach the ground
= 1.5s - 0.5s = 1s
Again,
S= ut+1/2gt²
So, initial height = 0 + 1/2×10×1² = 5m
For the distance after rebounding of object
v²= u² + 2gh
So, h = 5²/2×10 = 1.25m
Displacement = 5-1.25 = 3.75m
Now, v = u+gt
5 = 0 + 10t
.°. t = 5/10 = 0.5
(This is the time taken in rebound of the object)
So, time taken to reach the ground
= 1.5s - 0.5s = 1s
Again,
S= ut+1/2gt²
So, initial height = 0 + 1/2×10×1² = 5m
For the distance after rebounding of object
v²= u² + 2gh
So, h = 5²/2×10 = 1.25m
Displacement = 5-1.25 = 3.75m
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