Please explain how you did the problem to get the answer, Thanks in adavance. Pr

Question

Please explain how you did the problem to get the answer, Thanks in adavance.

Problem 1: A ball is thrown from a rooftop with an initial downward velocity of magnitude vo = 6.9 m/s. The rooftop is a distance above the ground, h = 12 m. In this problem use a coordinate system in which upwards is positive. ©theexpertta.corn Part (a) Find the vertical component of the velocity, vfy, in meters per second, with which the ball hits the ground. Numeric A numeric value is expected and not an expression. fy Part (b) If we wanted the ball's final speed to be exactly 27.3 m/s, from what height, hnew (in meters), would we need to throw it with the same initial velocity? Numeric :A numeric value is expected and not an expression new Part (c) If the height is fixed at 12 m, but we wanted the ball's final speed to be 32.7 m/s, what would the vertical component of the initial velocity Viy need to be, in meters per second? Numeric : A numeric value is expected and not an expression. iy

Explanation / Answer

1. (A) v0 = - 6.9 m/s

a = - 9.8 m/s^2

y = - 12 m (as it reaches the ground.)

Applying vF^2 - vi^2 = 2 a d

vf^2 - 6.9^2 = 2(-9.8)(-12)

vf = 16.8 m/

(b) 27.3^2 - 6.9^2 = 2(-9.8)(-h)

h = 35.6 m

(c) 32.7^2 - (v0)^2 = 2 (-9.8)(-12)

v0 = 28.9 m/s

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