Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 3, Problem 76P
To determine
The launch angle of a projectile which is launched from the ground level with an initial speed of
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The pitcher in a softball game throws a ball with an initial velocity v0 of 72 km/h at an angle a with the horizontal. If the height of the ball at point B is 0.68 m, determine (a) the angle a, (b) the angle 0 that the velocity of the ball at point B forms with the horizontal.
A projectile is launched from ground level with an initial speed of 53 m/s. Find the launch angle ( the angle the initial velocity vector is above the horizontal) such that the maximum height of the projectile is equal to its horizontal range. (Ignore any effects due to air resistance). Be sure to draw a picture that represents the projectile.
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Chapter 3 Solutions
Physics for Scientists and Engineers
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- An object is launched at a velocity of 20 m/s in a direction making an angle of 25⁰ upward with horizontal. (A) what is the maximum height reached by the object? (B) what is the total flight time (between launch and touching the ground) of the object? (C) what is the horizontal range (maximum x above the ground) of the object? (D) what is the magnitude of the velocity of the object just before it hits the ground?arrow_forwardIn 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.)arrow_forwardWhen a long jumper leaps in the air from the ground, he reaches a maximum height of 2.00 meters and travels a horizontal distance of 8.90 meters when he lands on the ground. Ignoring the effects of air resistance, determine the initial speed and the initial launch angle of the athlete.arrow_forward
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- A ball is thrown with initial velocity vo at an angle 00 = 45° above the horizontal, from the roof of a building of height h. It hits the ground after t=1.5 s at d=25 m from the building. (a) Find the height of the roof h. (b) Taking unit vectors i and j as horizontal and vertical unit vectors, respectively; write down the initial velocity vó of the ball. (c) Find the maximum height of the ball from the ground. Compare it with the height of the roofarrow_forwardA ball is shot from the ground into the air. At a height of 7.5 m, its velocity is v = 7.5i + 6.1j m/s, with i horizontal and j upward. (a) To what maximum height does the ball rise? (b) What total horizontal distance does the ball travel? What are the (c) magnitude and (d) angle (below the horizontal; give as negative) of the ball's velocity just before it hits the ground? (a) Number Units (b) Number Units (c) Number Units (d) Number Unitsarrow_forwardA projectile is shot in the air from ground level with an initial velocity of 500 m/sec at an angle of 45° with the horizontal. (a)At what time (in seconds) does the projectile reach maximum height? (b)What is the approximate maximum height (in meters) of the projectile?arrow_forward
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