A ball rolls off a table with a speed of 8 ft/s. The table is h = 2.5 ft high. (Assume the acceleration due to gravity is 32 ft/s².) I 2.5 ft (a) Determine the point (in ft to the right of the table's edge) at which the ball hits the floor. (Round your answer to two decimal places.) ft to the right of the table's edge Find its speed (in ft/s) at the instant of impact. (Round your answer to the nearest integer.) ft/s (b) Find the angle 8 (in degrees) between the path of the ball and the vertical line drawn through the point of impact. (See the figure above. Round your answer to one decimal place.) 8 = 0

A ball rolls off a table with a speed of 8 ft/s. The table is h = 2.5 ft high. (Assume the acceleration due to gravity is 32 ft/s².) I 2.5 ft (a) Determine the point (in ft to the right of the table's edge) at which the ball hits the floor. (Round your answer to two decimal places.) ft to the right of the table's edge Find its speed (in ft/s) at the instant of impact. (Round your answer to the nearest integer.) ft/s (b) Find the angle 8 (in degrees) between the path of the ball and the vertical line drawn through the point of impact. (See the figure above. Round your answer to one decimal place.) 8 = 0

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

A ball rolls off a table with a speed of 8 ft/s. The table is h = 2.5 ft high. (Assume the acceleration due to gravity is 32 ft/s².)
2.5 ft
(a) Determine the point (in ft to the right of the table's edge) at which the ball hits the floor. (Round your answer to two decimal places.)
ft to the right of the table's edge
Find its speed (in ft/s) at the instant of impact. (Round your answer to the nearest integer.)
ft/s
(b) Find the angle 8 (in degrees) between the path of the ball and the vertical line drawn through the point of impact. (See the figure
above. Round your answer to one decimal place.)
8 =
(c) Suppose the ball rebounds from the floor at the same angle with which it hits the floor, but loses 20% of its speed due to energy
absorbed by the ball on impact. Where (in ft to the right of the table's edge) does the ball strike the floor on the second bounce?
(Round your answer to one decimal place.)
ft to the right of the table's edge

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Step 1: Stating the given values, what needs to be calculated and the theory to be used.

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Step 2: Calculate the time taken by the ball to fall down.

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Step 3: Calculate the initial distance travelled by the ball horizontally.

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Step 4: Calculate the speed of the ball at the instant of impact.

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Step 5: Calculate the angle made by the ball with the vertical

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Step 6: Calculate the speed of the ball after bouncing.

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Step 7: Calculate the horizontal and vertical components of the balls after bouncing.

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Step 8: Calculate the time taken by the ball to return to the ground after bouncing.

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Step 9: Calculate the distance of the ball hitting the ground after bouncing

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