A placekicker is attempting to make a 48-yard field goal. If the launch angle of the football is 36°, what is the minimum initial speed u which will allow the kicker to succeed? 8 48 yd Not to scale T 10'
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- A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h, (a) in what direction must the pilot head her plane to move directly north across land and (b) how long does it take her to reach a point 300 km directly north of her starting point?A placekicker is attempting to make a 69-yard field goal. If the launch angle of the football is 34%, what is the minimum initial speed u which will allow the kicker to succeed? Answer: ui 69 yd Not to scale ft/sec 10'The quarterback Q throws the football when the receiver R is in the position shown. The receiver's velocity is constant at 10.1 yd/sec, and he catches passes when the ball is 5.3 ft above the ground. If the quarterback desires the receiver to catch the ball 3.5 sec after the launch instant shown, determine the initial speed vo and angle 0 required. 6.2¹ Answers: vo= B i 31 yd UR ft/sec
- A lizard kicks a ball with an initial velocity of 10 m/s at an angle of 35º with the horizontal. What is the maximum height of the ball?A baseball batter hits a long fly ball, giving it an initial velocity 45.0° above the horizontal. The ball risesto a maximum height of 14.8 m. An outfielder on the opposing team starts running at 7.60 m/s the instantthe ball is hit. Calculate the farthest the fielder can be from where the ball will land so that it is possiblefor him to catch the ball, i.e. distance between fielder’s original position and lading of the ballA baseball batter hits a long fly ball, giving it an initial velocity 45.0° above the horizontal. The ball risesto a maximum height of 14.8 m. An outfielder on the opposing team starts running at 7.60 m/s the instantthe ball is hit. Calculate the farthest the fielder can be from where the ball will land so that it is possiblefor him to catch the ball, i.e. distance between fielder’s original position and lading of the ball. [HINT: Assume that the outfielder catches the ball at the same height at which it was hit, and that hebegins running at the same time that it was hit.]
- 1110. In Fig. P-1109, a ball thrown down the incline strikes it at a distance s 254.5 It. If the ball rises to a maximum height h 64.4 ft above the point of release, compute its initial velocity vo and inclination 6. Ans. v. = 80.5 ft per see; 0= 53.1° FIG. P-1109 and P-1110.Darshan kicks the ball in a parabolic path. The ball leavesthe player’s foot with a speed of 20 m/s, making an angle of40o with the horizontal. a) Calculate the maximum height of its trajectory [2]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 tennis player hits the tennis ball at a distance of 10 m from the net. The ball is hitat a height of 1.2 m above ground so that it starts moving with a velocity of 30 m/s ina horizontal direction (parallel to the ground). The height of the net is 90 cm. What is the angle the tennis player has to hit the ball so it will just clear thenet?
- 1104. A projectile is fired with an initial velocity of 193.2 ft per sec upward at an angle of 30° to the horizontal from a point 257.6 ft above a level plain. What hori- zontal distance will it cover before it strikes the level plain? Ans. r 1340 ft 1105. Repeat Prob. 1104 if the projectile is fired downward at 30° to the hori- zontsl.Q.2 A placekicker is attempting to make a 58 m field gonl. If the launch angle of the footbnl) is 40°, what is the minimum initinl speed V wvhich will allow the kicker to succeed? 3 m 0 40° 58 m Not to Ecalo1104. A projectile is fired with an initial velocity of 193.2 ft per sec upward at an angle of 30° to the horizontal from a point 257.6 ft above a level plain. What hori- ontal distance will it cover before it strikes the level plain? Ans. a 1340 ft 1106. Repeat Prob. 1104 if the projectile is fired downward at 30° to the hori- ontal.