A golfer is attempting to reach the elevated green by hitting his ball under a low-hanging branch in one tree A, but over the top of a second tree B. If the launch speed of the golf ball is vo= 120 mi/hr, what launch angle will put the first impact point of the ball closest to the pin? How far from the pin (distance d) is this impact point? VO 0 12 yd 17' 71 yd B 58' 32' 82 yd 10 '10 yd yd
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- Before jumping from the bridge, Martin throws his water bottle to a friend standing on the bank of the lake. The bridge is 7.0 m high. The friend is standing on the bank 15.0 m from the base of the bridge with their hand 1.0m above the ground. What speed must Martin throw the bottle horizontally for it to reach his friend's hand?A projectile is launched from point A with speed vo = 37 m/s. Determine the value of the launch angle a which maximizes the range R indicated in the figure. Determine the corresponding value R. Vo = 37 m/s Answers: a = α R= 92 m i 42.7 151.43 12.9 m -R m BA golfer is attempting to reach the elevated green by hitting his ball under a low-hanging branch in one tree A, but over the top of a second tree B. If the launch speed of the golf ball is vo= 114 mi/hr, what launch angle will put the first impact point of the ball closest to the pin? How far from the pin (distance d) is this impact point? VO Answers: e= 12 yd d = i i A 17' 66 yd B www 0 yd 55' 23¹ 76 yd '12 '12 yd yd
- Doha kicks the ball in a parabolic path. The ball leaves the player’s foot with a speed of 20 m/s, making an angle of 40 o with the horizontal. a) Calculate the maximum height of its trajectory b) Determine its velocity as it hits the ground again. Air resistance is negligible. c) How far from Darshan does the soccer ball land?A paper ball is flicked at a 10 degree angle off of a table. The center of the ball is measured to be 1.018 meters from the ground at the time of the launch, and lands on the ground 1.600 meters away. What is the launch speed of the paper ball?The maximum horizontal distance a boy can throw a ball is 50 m. Assume he can throw with the same initial speed at all angles. How high does he throw the ball when he throws it straight upward?
- To have anv hone of making nar on a hole. a golfer has to hit the next shot over some nearby trees and past a water hazard, whose far side is located-on level ground 100 m away. The ball is hit with an initial speed of 30 m/ at an angle of 45°, allowing it just to clear the trees. Does the ball get past the water hazard? 100 mA golfer is attempting to reach the elevated green by hitting his ball under a low-hanging branch in one tree A, but over the top of a second tree B. If the launch speed of the golf ball is vo = 115 mi/hr, what launch angle will put the first impact point of the ball closest to the pin? How far from the pin (distance d) is this impact point? VO 0 = 14 Answers: d = yd Jud. A 23' 88.62 15.96 69 yd B 69' yd 33' 92 yd 10 10 yd ydThe initial speed of a tennis ball is 57.5 m/s and the launch angle is ?i = 16°. Neglect air resistance.Question 1) What is the maximum height, h, of the tennis ball? in mQuestione 2) What is the range, R, of the tennis ball? in m info given: what angle results in the greatest height=90 For this 90° angle, the horizontal component of velocity is zero, so the initial velocity is completely in the vertical direction, resulting in greatest height Kato tries substituting ty,max for t, 0 for yi, and h for yf, and gets h = vi2 sin2 ?i 2g When ?i = 90°, sin2 ?i is maximum, so h is maximum what angle results in the maximum horizontal range=45° I substituted 2vi sin ?i g into the expression for the horizontal component of velocity, (vi cos ?i)t, and got R = 2vi2 sin ?i cos ?i g when ?i = 45°, 2?i = 90°, and sin 90° = 1, which is its maximum value.
- An athlete in a long jump trial leaves the ground at an 80o angle and covers a horizontal distance of 8.7 m. The speed with which he can jump remains constant. What should he do to increase the horizontal distance of his jump? Explain why this would work.A ball is thrown from the top of a 35 meter high tower at a velocity of 60 m/s and at an angle of 25o above the horizontal. How far from the base of the tower does the ball land? What is its velocity just as it strikes the ground?5. A projectile is launched at an angle of 50° with the horizontal and a speed of 25 m/s. a) What is the Range of the projectile? b) What is its height after 1.5 second?