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Construct Your Own Problem Consider a ball tossed over a fence. Construct a problem in which you calculate the ball's needed initial velocity to just clear the fence. Among the things to determine are; the height of the fence, the distance to the fence from the point of release of the ball, and the height at which the ball is released. You should also consider whether it is possible to choose the initial speed for the ball and just calculate the angle at which it is thrown. Also examine the possibility of multiple solutions given the distances and heights you have chosen.
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Chapter 3 Solutions
College Physics
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- A person standing at the top of a hemispherical rock of radius R kicks a ball (initially at rest on the top of the rock) to give it horizontal velocity vi as shown in Figure P3.56. (a) What must be its minimum initial speed if the ball is never to hit the rock after it is kicked? (b) With this initial speed, how far from the base of the rock does the ball hit the ground?arrow_forwardA projectile is launched on the Earth with a certain initial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one-sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large, (b) It is the same, (c) It is V5 limes larger, (d) It is 6 times larger, (e) It is 6limes larger.arrow_forwardA ball is thrown with an initial speed vi at an angle i with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/6. In terms of R and g, find (a) the time interval during which the ball is in motion, (b) the balls speed at the peak of its path, (c) the initial vertical component of its velocity, (d) its initial speed, and (e) the angle i. (f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height. (g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.arrow_forward
- 1. The distance between home plate and the pitcher's mound in baseball is 60.5 ft. In MLB, baseballs are. pitched at about 90mph. Assume the ball is thrown perfectly horizontally, at 0°. How far in feet will the ball drop during its transit to home plate? Use g = 32 ft/s². (Note: this is why pitcher's mounds are raised.) 2. A pebble is tossed into the air at an angle of 62° above the horizontal, with an initial speed of 4.8 m/s. The pebble is 1.6m above the ground when it is released by the thrower's hand. a) How long will the pebble remain airborne? b) What maximum height above the ground will the pebble achieve?arrow_forwardpls help solve thisarrow_forwardIn a ballistic pendulum lab we used the law of projectile to determine the initial velocity. The ball was released with some initial speed V from the table, the table has an altitude of 1.1 m and the ball land 2.3 m away. What is the muzzle velocity of the ball as it shot from the gun? 4.9 m/s O 7.0 m/s O 6.1 m/s O 8.0 m/sarrow_forward
- A ball is shot from ground level over level ground at a certain initial speed. The figure gives the range R of the ball versus its launch angle 8g. In the following questions, you will be ranking various points on the path. If multiple points rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A:1, B:1, C:3). If all points rank equally, rank each as '1'. LINK TO TEXT Rank the three lettered points on the plot according to the ball's speed at maximum height, greatest first. R Point a Point b Point c 1. Greatest 2. Second greatest 3. Third greatestarrow_forwardProfessional golfers can drive the ball over 200 m. While air resistance is significant, its effects are nearly canceled because lift is gained from backspin on the ball, and so a reasonable description of the ball’s trajectory is obtained if air resistance is neglected. Suppose a golfer hits a ball 200 m on level ground, giving it an initial velocity at an angle of 45o. The duration of the impact of the club and ball has been measured to be 1.00 ms. a) Calculate the velocity of the ball just after it is struck b) What is the 0.0450 kg ball's change in momentum?arrow_forwardOnly provide solution of a in a page... Don't use matlabarrow_forward
- Fluid Mechanics: The English perfected the longbow as a weapon after the Medieval period. In the hands of a skilled archer, the longbow was reputed to be accurate at ranges to 100 m or more. If the maximum altitude of an arrow is less than h = 10 m while traveling to a target 100 m away from the archer, and neglecting air resistance, estimate the speed and angle at which the arrow must leave the bow. Plot the required release speed and angle as a function of height harrow_forwardA projectile was thrown from the edge of a 150 m high building with an initial velocity of 180 m/s at an angle of 30 degrees from the horizontal. a. Calculate the speed of the projectile after 15 seconds b. Calculate the horizontal displacement of the projectile c. Calculate the time of flight of the projectile d. Determine the maximum height reached by the projectile measured from the ground e. Calculate the height of the projectile from the ground after 15 secondsarrow_forwardA basketball player tosses a basketball with an initial velocity of v at an angle of 35 degrees, and in the position shown below. The basketball then travels the dashed arc and goes into the basket (i.e. hits a point 11 meters away horizontally and 3 meters off the floor vertically). 2 m Vo 35° 11 m 3 m a) What is the magnitude of the initial velocity of the basketball? b) When does the basketball go into the basket? c) How fast is the basketball travelling when it makes the basket? d) What is the maximum acceleration of the basketball during its flight?arrow_forward
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