Answer to Question #215487 in Mechanics | Relativity for Notacow

Question

a tennis ball “A” is released from rest down a 10.0 m long inclined ramp with a uniform acceleration of 5.0 m/s2. Another tennis ball “B” is initially located at the same height as ball “A” right above the lower edge of the ramp. Ball “B” is thrown upward with some initial speed at the same instant as the release of ball “A”.

a) What was the initial velocity of ball "B" so that "A" and "B" reach the bottom of the ramp at the same time?

b) Sketch position and velocity time graphs for ball "A" and "B" using the same chart.

Answer 1

$$h=0.5at^2\\10=0.5(5)t^2\\t=2\ s\\-vt+0.5gt^2=h\\-2v+0.5(9.8)(2)^2=10\\v=4.8\frac{m}{s}$$