An airplane releases a ball as it flies parallel to the ground at a height of 135 m as shown in the figure. If the ball lands on the ground exactly 135 m from the release point, calculate the speed v of the plane. Neglect any effects due to air resistance, and use g = 9.81 m/s2 for the acceleration due to gravity.
Time taken by the ball to rech the ground is
t = sqrt ( 2 h / g )
= sqrt ( 2(135m) / ( 9.8 m/s2) )
= 5.25 s
velocity of the ball is
v = d / t
= 135 m / 5.25 s
= 25.71 m/s
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