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If the same launcher is used to fire the ball at a 30˚ angle from ground level, how far (in meters) will it travel before
it hits the ground?
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- A trebuchet (a catapult) is used to launch a fiery projectile towards a castle. The projectile is 5.0 m above the ground when launched at a velocity of 25 m/s at an angle of 35° above the horizontal. Assuming that the projectile lands on the level ground inside the castle walls answer the following questions. (a) How long was the projectile in the air? (b) How far horizontally did the projectile travel from where it was launched to where it hit the ground? (c) What was the velocity of the projectile just before it hit the ground? (d) Include aA player kicks a football at an angle of 37° with the horizontal and with an initial speed of 16 ms. A second player standing at a distance of 33 m from the first in the direction of the kick starts running to meet the ball at the instant it is kicked. How fast must he run in order to catch the ball before it hits the ground?An archer aims at a target. Suppose the archer’s arrow is 1.2m above the ground, the bull’s eye is 43m away and at aheight of 1.8m, and she can shoot the arrow at an initial speed of 28m/s. It is a calm day with nowind so you ignore air resistance. At what angle should she aim her arrow to hit the bull’s eye?
- At a top of a building, a projectile is launched with an initial velocity of 25.0m/s at an angle of 30° above the horizontal. It takes the projectile t = 3.96s from launch to hit the ground, B. What is the velocity of the projectile as it hits the ground? (Magnitude + direction)A football kicker can give the ball an initial speed of 29 m/s. What are the (a) least and (b) greatest elevation angles at which he can kick the ball to score a field goal from a point 44 m in front of goalposts whose horizontal bar is 3.44 m above the ground?. You tossed out a ball from a building at a height of 50.0 meter above the ground with an initial velocity of 9.00 m/s and angle of 25° to the horizontal. It strikes the ground after 5.00 seconds. With the positive x-direction chosen to be out of the window, how far horizontally from the base of the building does the ball strike the ground?
- A projectile is launched at an angle of 45 degrees with respect to the horizontal ground. What is the range of the projectile if it was launched at a speed of 180 ft/s?In 2007, Michael Carter (U.S.) set a world record in the shot put with a throw of 24.77 m. What was the initial speed of the shot if he released it at a height of 2.10 m and threw it at an angle of 38.0° above the horizontal? (Although the maximum distance for a projectile on level ground is achieved at 45° when air resistance is neglected, the actual angle to achieve maximum range is smaller; thus, 38° will give a longer range than 45° in the shot put.)An arrow is shot at an angle of 75.0° above the horizontal toward a cliff of 60.0-m height. It lands on the cliff 4.00 s later at the very edge of the cliff Ignore air resistance. What is the (horizontal) distance the archer is from the base of the vertical cliff?
- A golfer tees off from the top of a rise, giving the golf ball an initial velocity of 43.0 m/s at an angle of 30.0° above the horizontal. The ball strikes the fairway a horizontal distance of 180 m from the tee. Assume the fairway is level. (a) How high is the rise above the fairway? (b) What is the speed of the ball as it strikes the fairway?A projectile is launched from a 20.0 m high cliff with an initial velocity of 28.0 m/s at an angle of 35.0° elevation. What is the maximum height above the ground (at the bottom of the cliff) the projectile will go?A third baseman makes a throw to first base 39.0 m away. The ball leaves his hand with a speed of 38.0 m/s at a height of 1.50 m from the ground and making an angle of 20.0 degrees with the horizontal. How high will the ball be when it gets to first base?