A ball thrown vertically thorough upward with an initial velocity of 40cm per second. find the following maximum height total distance convert net displacement
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Explanation:
Ball is thrown vertically upward with velocity 40m/s . at highest point, velocity of ball equals zero.
use formula, v = u + at,
here, v = 0, u = 40 m/s and a = -g [ negative sign shows that acceleration due to gravity acts downward direction.]
so, 0 = 40 - 10t
t = 4sec
and maximum height reached by ball = u²/2g
= (40)²/20 = 80m
hence, after 4sec ball reaches highest position.
then, ball starts to fall downward direction.
so, initial velocity in this case , u= 0
after 2 sec ball falls , S distance below from highest point.
use formula, S = ut + 1/2at²
S = 0.t + 1/2(-g) × 2² = -20m
hence,first 4sec ball reaches 80m heigh from the ground then, falls 20m below from the top point in next 2 sec .so, displacement in 6sec = 80m - 20m = 60m
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