John throws the ball straight upward and after 1 second it reaches maximum height then it does free fall motion which takes 2 seconds calculate the maximum height and velocity of ball before it crashes the ground (g=10m/s^
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When the ball goes up :-
t = 1 second
v= 0
g = - 10m/s^2----(since it is going in the opposite direction of acceleration , we take the value of g as negative)
u = ?
h = ?
We have , v = u + at ------(Newton's first equation of motion)
Therefore, v = u + gt
Therefore, 0 = u + (-10) × 1
Therefore, 0 = u - 10
Therefore, u = 10m/s
We have , s = ut + 1/2gt^2------( Newton's second equation of motion)
Therefore, s = 10×1 + 1/2 (-10)×1^2
Therefore, s = 10+1/2 × (-10)
Therefore, s= 10-5
Therefore, s= 5m
When the ball is falling down,
t = 2seconds
u = 0
g = 10m/s^2
v = ?
We Have, v = u + gt
Therefore, v = 0 + 10×2
Therefore, v = 20m/s
Answer :- The maximum height of the ball will be 5metres and it's velocity before crashing the ground will be 20 m/s.
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