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Ad libitum [116K]
2 years ago
13

A ball rolls over the edge of a platform with only a horizontal velocity. The height of the platform is 1.6 m and the horizontal

range of the ball from the base of the platform is 20 m. What is the horizontal velocity of the ball just before it touches the ground? Neglect air resistance. Use g = -9.8 m/s2.
Mathematics
1 answer:
Sever21 [200]2 years ago
4 0

Answer:

35 m/s

Step-by-step explanation:

Let gravitational acceleration g = 9.8m/s2. We can calculate the amount of time for the ball to fall vertically a distance of 1.6 m

1.6 = 9.8t^2/2

t^2 = 2*1.6/9.8 = 0.327

t = \sqrt{0.327} = 0.571s

This is also the time it takes for the ball to fly horizontally, assume constant horizontal speed, we can calculate the speed it takes to travel across 20m in 0.571s

v = 20 / 0.571 = 35 m/s

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