The motion diagram below shows a ball\'s position at regular intervals as the ba
ID: 1331380 • Letter: T
Question
The motion diagram below shows a ball's position at regular intervals as the ball files 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 0.500 m by 0.500m. Use g = 10.0 m/s2, and neglect air resistance Calculate the vertical component of the ball's initial velocity Calculate the total time the ball spends in the air. Calculate the horizontal component of the ball's velocity. Calculate the angle, measured counter-clockwise from the positive x-direction, at which the ball was launched.Explanation / Answer
from the graph
the maximum verrtical distance = y = 16*0.5 = 8 m
at the maximum point vy = 0
vy^2 - voy^2 = 2*ay*y
0^2 - voy^2 = -2*10*8
voy = 12.6 m/s <<<<-----answer
as the ball is reaching the same vertical level after spending total time in air
the total displacement in vertical direction = 0
from
y = voy*T + 0.5*g*T^2
0 = 12.6*T - 0.5*10*T^2
T = 2.52 s <<--------answer
(c)
maximum horizantal travelled = X = 16*0.5 = 8 m
X = vox*T
vox = X/T = 8/2.52 = 3.17 m/s
(d)
angle = tan^-1(voy/vx) = 76