A) Alice kicks a soccer ball at an angle of 40 degrees from the horizontal. The

Question

A) Alice kicks a soccer ball at an angle of 40 degrees from the horizontal. The ball lands 30m from where it was kicked. What was the ball’s launch velocity? Assume air resistance can be ignored.

B) Bob wants to recreate Alice’s kick on a square inclined air table. He inclines his 50cm x 50cm air table at an angle of 2.5 degrees from the horizontal and launched a puck at 40 degrees from the horizontal. Because he only has 50cm of room to work with, he decides based on a ‘gut feeling’ that he can simply reduce the launch velocity to 0.15 m/s. will Bob’s puck ‘land’ on the bottom edge of the table, or will it hit the sides? Or will it hit the top edge of the table? If not, how far up the table will the puck reach?

C) What’s the maximum velocity Bob can use at this angle?

Explanation / Answer

here,

angle = A = 40 degrees
Range = 30 m

ball will act as projectile
Therefore range of Projectile is Given as

R = V^2 * Sin2A/2g

30 * 2 * 9.8 = V^2*sin80
V = sqrt(58.8/0.984)

V = 7.73 m/s

the ball’s launch velocity wll be 7.73 m/s

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