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✨✨Physics Genius answer it ✨✨
● A Baseball is popped straight up into the air and Has a hang time of 6.25s . Determine the height to which ball rises before it reaches its peak . (Hint the time to rise to the peak is one - half the total hang time )
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Answers
Answer:
At the maximum height of the ball, the velocity will be zero. This will also take half the total time, 3.125 s.
Now use the equation...
Δd = vf*t - 1/2at^2
By setting the final time at the moment of the apex of the height, vf becomes 0.
So the equation will become...
Δd = - 1/2at^2
The equation now resembles the change in height from the ground to the maximum height
Δd = - 1/2at^2 = - 1/2 (-9.8 m/s^2) (3.125 s)^2 = 47.8 m
=> h = 47.851 m
Here time of flight is, t = 6.25 s
Acceleration due to gravity, g = -9.8 m/s²
Time to reach the maximum height = t/2 = 3.125 s
At the maximum height ‘h’ the velocity becomes zero. Let the initial velocity be ‘u’.
So, 0 = u –(9.8)(3.125)
=> u = 30.625 m/s
Now,
h = u(t/2) + ½ g(t/2)²
=> h = (30.625)(3.125) – (0.5)(9.8)(3.125)²
=> h = 47.851 m
Hope it helps!!