A ball with mass 0.13 kg is thrown upward with initial velocity 20 m/s from the roof of a building 30 m high. neglect air resistance. (a computer algebra system is recommended. use g = 9.8 m/s2 for the acceleration due to gravity. round your answers to one decimal place.) (a) find the maximum height above the ground that the ball reaches.

Question

Physics

Tyrone

30 April, 10:30

A ball with mass 0.13 kg is thrown upward with initial velocity 20 m/s from the roof of a building 30 m high. neglect air resistance. (a computer algebra system is recommended. use g = 9.8 m/s2 for the acceleration due to gravity. round your answers to one decimal place.) (a) find the maximum height above the ground that the ball reaches.

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Rachael Benjamin · Answer 1

We need to apply the following equation

Vy ^2 = Voy^2 + 2 ay (y - yo)

Where Vy is the final speed of the ball (which will be equal to zero at maximun height)

Voy is the initial speed

a is the acceleration (equal to - 9.8 m/s2, as it goes against the upward movement)

yo is the initial reference position (yo = 30m from the ground)

y = yo + [ (-Voy^2) / 2ay] = 30 m + - (20[m/s]) ^2 / - 2 (9.8[m/s^2])

y = 30[m] + 20.408 [m] = 50.408 m = 50.4 m