The motion diagram above shows a ball?s position at regular intervals as the bal
ID: 2170463 • Letter: T
Question
The motion diagram above shows a ball?s position at regular intervals as the ball flies from left to right through the air. Note that the graph shows the ball's vertical position as a function of its horizontal position. The small squares on the diagram measure 3 m by 3 m. Use g = 10.0 m/s2, and neglect air resistance.
(a) Calculate the vertical component of the ball's initial velocity .
(b) Calculate the total time the ball spends in the air.
(c) Calculate the horizontal component of the ball's initial velocity .
(d) Calculate the angle, measured counter-clockwise from the positive x-direction, at which the ball was launched.
Explanation / Answer
a)vertical component = sqrt(2gh) = sqrt(2*10*16*3) = 31 m/s b) total time = 2*u/g = 31*2/10 = 6.2 s c) horizontal component = 16*3/6.2 = 7.74 m/s d) angle = taninverse(31/7.74) = 76 degrees