A football player launches a ball of mass m from the origin (0,0) with an initial speed v, with at an angle a above the horizontal. The ball lands on the ground at (d,0). Neglecting the drag, a) find out the expression of v, in terms of a and d. b) if d=45m, and a=45°, find out the total time of flight. c) Now consider drag force, F=-bv with b-constant, find a formula of the horizontal distance travelled by the ball x₁ with respect to origin when the ball reaches the maximum height yn. Express the answer as a function of a,g,vo,b and m. (F and v are drage force and velocity vectors respectively)

A football player launches a ball of mass m from the origin (0,0) with an initial speed v, with at an angle a above the horizontal. The ball lands on the ground at (d,0). Neglecting the drag, a) find out the expression of v, in terms of a and d. b) if d=45m, and a=45°, find out the total time of flight. c) Now consider drag force, F=-bv with b-constant, find a formula of the horizontal distance travelled by the ball x₁ with respect to origin when the ball reaches the maximum height yn. Express the answer as a function of a,g,vo,b and m. (F and v are drage force and velocity vectors respectively)

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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Concept explainers

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

Question

A football player launches a ball of mass m from the origin (0,0) with an initial speed v, with at an angle a above the
horizontal. The ball lands on the ground at (d,0). Neglecting the drag, a) find out the expression of v, in terms of a and
d. b) if d=45m, and a=45°, find out the total time of flight. c) Now consider drag force, F=-bv with b=constant, find a
formula of the horizontal distance travelled by the ball x with respect to origin when the ball reaches the maximum
height yn. Express the answer as a function of a,g,vo,b and m. (F and v are drage force and velocity vectors
respectively)
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