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Unformatted text preview: fullwood (tf5349) – Quiz 4 Projectile – Catala – (49033) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A basketball player 2 . 02 m tall wants to make a basket from a distance of 14 . 2 m. The hoop is at a height of 3 . 05 m. The acceleration of gravity is 9 . 8 m / s 2 . Neglect air friction. 2 . 02 m 3 . 05 m 14 . 2 m v 54 . 3 ◦ If he shoots the ball (from a height of 2 . 02 m) at a 54 . 3 ◦ angle, at what initial speed must he throw the basketball so that it goes through the hoop without striking the backboard? Correct answer: 12 . 446 m / s. Explanation: Given : h i = 2 . 02 m , h f = 3 . 05 m , and Δ x = 14 . 2 m . The components of the initial velocity are v ix = v x = v i cos θ and v iy = v i sin θ . Since Δ x = v x Δ t , the time for the ball to move Δ x horizontally is Δ t = Δ x v x = Δ x v i cos θ ....
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