Question

A basketball player throws a ball with an initial velocity of 6·5 m s?¹ at an angle of 50° to the horizontal. The ball is 2·3 m above the ground when released. not to scale 2·9 m 6·5 m s 49° 2·3 m h The ball travels a horizontal distance of 2·9 m to reach the top of the basket. The effects of air resistance can be ignored. (a) Calculate: (i) the horizontal component of the initial velocity of the ball; (ii) the vertical component of the initial velocity of the ball. (b) Show that the time taken for the ball to reach the basket is 0·69 s. (c) Calculate the height h of the top of the basket.

          A basketball player throws a ball with an initial velocity of 6·5 m s?¹ at an angle of 50° to the horizontal. The ball is 2·3 m above the ground when released.
not to scale
2·9 m
6·5 m s
49°
2·3 m
h
The ball travels a horizontal distance of 2·9 m to reach the top of the basket.
The effects of air resistance can be ignored.
(a) Calculate:
(i) the horizontal component of the initial velocity of the ball;
(ii) the vertical component of the initial velocity of the ball.
(b) Show that the time taken for the ball to reach the basket is 0·69 s.
(c) Calculate the height h of the top of the basket.

A basketball player throws a ball with an initial velocity of 6·5 m s?¹ at an angle of 50° to the horizontal. The ball is 2·3 m above the ground when released.
not to scale
2·9 m
6·5 m s
49°
2·3 m
h
The ball travels a horizontal distance of 2·9 m to reach the top of the basket.
The effects of air resistance can be ignored.
(a) Calculate:
(i) the horizontal component of the initial velocity of the ball;
(ii) the vertical component of the initial velocity of the ball.
(b) Show that the time taken for the ball to reach the basket is 0·69 s.
(c) Calculate the height h of the top of the basket.

Added by Claire G.

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