M is golfing inside his friend's barn! He hits a ball (m=0.123kg) at a speed of 15m/s at an angle of 55 degrees. His friend's barn is 8.1m high and 15m long. WIll the ball hit the ceiling AND/OR the wall at the other end? Justify your answer
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- You are working part-time for the GT Sports Media Complex, editing video for the women’s softball team. In one particular clip, a GT player hits a home run over the center field fence. The ball leaves the bat at a height of 4 ft, and crosses the outfield fence (220 ft away) at a height of 10 ft. Logs of the game indicate that the pitch was clocked at 68 mph as it reached the plate. Your frame-by-frame analysis of the 30-frame-per-second video indicate that the ball spent only a single frame in contact with tha bat, and another 126 frames travelling to the outfield fence. A quick internet seach tells you that a typical college softball weighs 0.4 lb. How many pounds of average force act on the ball during ocntact with the bat?Dr. Liu is learning how to juggle. He tosses a tennis ball (probably bad choice since it is so bouncy) up at 2.5 m/s at a height 1.5 m above the floor and attempts to use the other hand to catch the falling ball. The ball hit the floor at his feet. How long was Dr. Liu's tennis ball in the air (between tossing and landing)? Ignore air drag. He should probably practice tossing his juggling ball at the same height and same speed before attempting to juggle. Hint: You can set the final position to be zero.In the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what was called a fastball special. Suppose Colossus throws Wolverine at an angle of 8 = 23.0° with respect to the ground (see figure below). Wolverine is d = 2.08 m above the ground when he is released, and he leaves Colossus's hands with a speed of v, = 17.1 m/s. (a) Using conservation of energy and the components of the initial velocity, find the maximum height attained by Wolverine during the flight. (b) Using conservation of energy, what is Wolverine's speed the instant before he hits the ground? m/s
- A person throws a ball with speed 102 m/s at a 45° angle. How many seconds faster would the ball arrive if the person threw the ball at the same speed and the same distance but made the trip in two identical bumps. Assume that there is no loss of speed at the bounce. Hint: Use R = v2/g * sin(2θ) and t=2*vy(sinθ)/g.You go watch your friend as she runs at a cross country meet. The first time she passes you, your friend runs by going due north at a speed of 4.40 m/s. You move to a different place on the course and twelve minutes after you saw her the first time, your friend runs past you again. This time she is traveling at a speed of 3.80 m/s in the direction 30.0◦ W of S. What is the direction of her average acceleration between those same two times?A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a ramp of 61.8 degrees at a speed of 49 m/s. What would be the largest number of buses he can clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 10.0 m long? Use g = 9.8 m/s?. Your answer should be in the form of an integer number (e.g., 3 buses, not 3.4 buses).
- On planet #3, you fire a projectile horizontally from the edge of a vertical cliff 76.0 m above the ground, with an initial speed of 31.2 m/s. The projectile lands 71.5 m away from the base of the cliff. What is the value of g for planet #3? 848.50 m/s^2 28.94 m/s^2 14.47 m/s^2 12.05 m/s^2A golfer hits a shot to a green that is elevated 2.60 m above the point where the ball is struck. The ball leaves the club at a speed of 17.3 m/s at an angle of 52.0° above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.A golfer hits a shot to a green that is elevated 2.60 m above the point where the ball is struck. The ball leaves the club at a speed of 19.9 m/s at an angle of 34.0° above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.
- As part of an obstacle course, an athlete must kick a soccer ball into a 1 meter wide and 10 meter deep pit such that the ball hits a target at the bottom of the pit. In practice, a dynamics student that is participating in the race kicks the soccer ball such that the soccer ball will bounce off the far wall of the pit 5 meters below the surface and head towards the target. If the velocity of the ball before striking the wall at point at point A is v4 = 2.6i – 10j m, determine the t-component of the ) after striking the wall. The size of the ball and the target ball velocity vector (in are negligible relative to the dimensions of the pit, the gravity acceleration must be considered as g 10 m and the coefficient of restitution at point A is e =0.35. 5 m t 10 m 1m 三It's been a great day of new, frictionless snow. Julie starts at the top of the 60° slope with a push-off velocity of 1.7 m/s as shown in the diagram. At the bottom a circular arc carries her through a 90° turn, and then she launches off a 3.0-m-high ramp. How far horizontally is her touchdown point (in m) from the end of the ramp assuming that air resistance is negligible and that the local acceleration due to gravity is 9.80 m/s2?Tarzan grabs a vine hanging vertically from a tall tree when he is running at 9.3 m/s. a. How high (in m) can he swing upward? (Enter your answer with respect to the ground.) (Answer in m) b. Does the length of the vine affect this height? (Yes or No)