Answered: ball is thrown from a rooftop with an…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.45P

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A ball is thrown from a rooftop with an initial downward velocity of magnitude v_o = 4.2 m/s. The rooftop is a distance above the ground, h = 21 m. In this problem use a coordinate system in which upwards is positive.

Part (a) Find the vertical component of the velocity, v_fy, in meters per second, with which the ball hits the ground.
Numeric   : A numeric value is expected and not an expression.
v_fy = __________________________________________

Part (b) If we wanted the ball's final speed to be exactly 27.3 m/s, from what height, h_new (in meters), would we need to throw it with the same initial velocity?
Numeric   : A numeric value is expected and not an expression.
h_new = __________________________________________

Part (c) If the height is fixed at 21 m, but we wanted the ball's final speed to be 32.7 m/s, what would the vertical component of the initial velocity v_iy need to be, in meters per second?
Numeric   : A numeric value is expected and not an expression.
v_iy = __________________________________________

Expert Solution

Step 1

Given

Initial velocity v_o= 4.2 m/s

Displacement s = -h = -21 m

Acceleration a = -g = -9.8 m/s²

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