Top Golf is a famous and well-known place for sports entertainment and family fun. Typically a building has two to three floors full of rooms for people to rent and relax in while they hit golf balls onto a 250-yard field. Suppose a person hits a golf ball from the second floor (h) with an initial velocity of 118 mph at a 15° angle (0). The golf ball is in the air for (t) secs and lands 170 (x) yards from its initial place. The path of the golf ball is depicted in figure 2. Hint: 1 mile 5280 ft, 1 yard = 3 ft (i) How long does it take for the golf ball to land on the field in seconds? (t) (ii) At what height was the ball struck at in feet? (h) (iii) What is the maximum height the golf ball reaches in feet? (yax) Figure 2.

43.0 m above level ground at the bottom 17.5 m/s. The rock leaves his hand at a height of h A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. х (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) %3D Уo 3 (b) What are the components of the initial velocity? (Enter your answers in m/s.) m/s Vox m/s Voy %D х (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that v, and v, are in m/s and t is in seconds. Do not include units in your answers.) m/s Vx %D m/s V. II

A projectile is fired with an initial speed of 36.2 m/s at an angle of 42.3 ° above the horizontal on a long flat firing range.  Determine the maximum height reached by the projectile. Express answer using three significant figures.  Determine the total time in the air. Express answer using three significant figures.  Determine the total horizontal distance covered (that is, the range)  Determine the speed of the projectile 2.00 s after firing.

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An arrow is launched from ground level, with an initial speed of 27.2 m/s at an angle of 31.4° above the horizontal. Neglect air resistance, and take upward as the positive direction. a) How much time is needed for the arrow to reach its maximum height, b) what is this maximum heightc) how long does it take to land on the ground againd) how far does it travel right before it lands.

Several people stand on a bridge over a river.  The bridge is not level, so the people are all different heights above the river.  Each person throws a stone to the river. a) The first person is 26.8 m above the river and throws her stone with a speed of 16.6 m/s at an angle of 6 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below).  How long does it take her stone to hit the water, in seconds? b) The second person is 19.0 m above the river and throws his stone with a speed of 17.1 m/s at an angle of -21.4 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below).  What is the range of his stone, in meters? c)The third person is 9.1 m above the river and throws their stone with a speed of 6.5 m/s at an angle of 9.3 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below).  What is the speed of this stone (in m/s) just before it strikes the river?

Goro Shigeno (Pitcher) and Joe Gibson Jr. (hitter) went head to head in the Major League Baseball (MLB) series. For the last pitch, Gibson hits the baseball with 82 ft/s at angle of 75°. When the ball is directly above Shigeno he begins to run under it. Determine the (a) the total distance that the pitcher runs and (b) the constant speed at which pitcher must run in order to make the catch at the same elevation at which the ball was hit. (Note: the distance between the pitcher and hitter is 70 ft.)

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 placekicker is about to kick a field goal. The ball is 26.1 m from the goalpost. The ball is kicked with an initial velocity of 18.9 m/s at an angle 8 above the ground. Between what two angles, 0₁ and 02, will the ball clear the 3.05-m-high crossbar? Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful: sec 8=1/(cos 8) and sec²0-1+tan²0.) M

1. A player lines up to kick a 40 m goal. In the first attempt, the ball has an initial velocity of 20 m/s at angle of 55.0 degrees. The goal posts are 3 m high. Ônce the ball passes above the field goal post (i.e., after it has travelled 40 m in the horizontal direction), it is deemed successful. (a) Determine if the goal kicker's first attempt is successful. (b) If the kicker changes the angle of kicking to 30 degrees and the initial velocity so that it JUST reaches the goal post. Determine the new initial velocity of ball.