Question

an airplane releases a ball as it flies parallel to the ground at a height of 235m. if the ball lands on the ground exactly at 235m from the realse point. calculate the speed v of the plane . neglect air restance and use 9.81m/s^2 as acceleration due to gravity

Answer 1

When the question says the ball lands a distance of 235 meters from the release point, we can assume this means the horizontal distance is 235 meters. Let's calculate the time for the ball to fall 235 meters to the ground. y = (1/2)gt^2 t^2 = 2y / g t = sqrt{ 2y / g } t = sqrt{ (2) (235 m) / (9.81 m/s^2) } t = 6.9217 s We can use the time t to find the horizontal speed. v = d / t v = 235 m / 6.9217 s v = 33.95 m/s Since the horizontal speed is the speed of the plane, the speed of the plane is 33.95 m/s