Question

How to calculate the answer to find total flight of time of a ball fired from the ground with an initial velocity of 100 meter per second at 50 degree the horizontal using (tf²(vfy-Viy)/-ag)?

Answer 1

`t_(Total) = 1197.46` s

Explanation:

Calculate vertical component of velocity:
`v = 100` m/s @ `50` degrees
`v_y = 100sin(50) = 76.60` m/s

We also have:
`v_i = v_y = 76.60` m/s
`v_f = 0` m/s
`a_g = -9.8` m/`s^2`
`t_(up) = ?` s

Solving:
`v_f^2=v_i^2+a_g t_(1/2)`
`t_(up) = (v_f^2-v_i^2)/(a_g)`
`t_(up) = (0 - (76.60)^2)/(-9.8) = 598.73` s

We know (b/c the assumption is there is no air resistance):
`t_(up) = t_(down)`

The total flight time is then:
`t_(Total) = t_(up) + t_(down) = 2t_(up)= 1197.46` s