(a) The ball hits the wall 5.3 meters above the release point.
(b) The horizontal component of its velocity is 17.5 m/s. (c) The vertical component of its velocity is 17.1 m/s.
(d) Yes, it has passed the highest point on its trajectory.
(a) Using the equation for range, we can solve for time:
R = V*t*cosθ =>25*t*cos65 = 12 t = 0.75 s
We can then solve for the height using the equation for vertical displacement:
h = V*t*sinθ - 0.5*g*t^2
h = 25*0.75*sin65 - 0.5*9.8*0.75^2 h
= 5.3 m
(b) We can solve for the horizontal component of the velocity using the equation for range:
R = V*t*cosθ 17.5
= 25*t*cos65 t
= 0.7 s V = 17.5 m/s
(c) We can solve for the vertical component of the velocity using the equation for vertical displacement:
h = V*t*sinθ - 0.5*g*t^2 17.1
= 25*0.75*sin65 - 0.5*9.8*0.75^2 V = 17.1 m/s
(d) Yes, the ball has passed the highest point on its trajectory because the ball is traveling downwards when it hits the wall.
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