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Answers
Hey there!
Time taken to attain maximum height = 8 / 2 = 4 sec
Now,
a) when a ball is thrown vertically upward,
Final Velocity(v) at max. height = 0 m/s
g = - 9.8 m/s²
From,
First Equation of motion,
v = u + at
0 = u +(- 9.8 * 4)
0 = u - 39.2
u = 39.2 m/s
Hence, the initial velocity by which the ball was thrown is 39.2 m/s.
b) The maximum height it reaches would be:
From third equation of motion:
v² = u² + 2aS
0 = (39.2)² + (2* - 9.8*S)
0 = 39.2 * 39.2 - 2*9.8S
- (39.2 *39.2) / - 2 * 9.8 = S
or, S = 78.4 m
Hence, the maximum height is reaches it 78.4 m,
c) t = 5 sec
It reaches maximum height in 4 sec. and for 1 sec it falls from the top.
So, u = 0 m/s
a = 9.8 m/s²
From second equation of motion,
S = ut + 1/2 at²
S = 0 + 1/2 * 9.8 * (1)²
S = 4.9 m
So, after five second it will be at 4.9 below the maximum height.
Or, after 5 s, it will be at height = 78.4 - 4.9 = 69.5 m from the ground.
Hope It Helps You!