Answered: A football is kicked from ground level…

Name: A football is kicked from ground level with an initial velocity of 25
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Description: A football is kicked from ground level with an initial velocity of 25 m/s at angle of 35° above the horizontal. Double the time it takes the ball to reach its maximum height to find how long it takes the ball to reach the ground. Which equation can y

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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A football is kicked from ground level with an initial velocity of 25 m/s at angle of 35° above the horizontal. Double the time it takes the ball to reach its maximum height to find how long it takes the ball to reach the ground. Which equation can you now use to determine how far the ball lands?
Group of answer choices

a. vfx=v0x+axt

b. vfx2=v0x2+2ax Δx

c. Δx =v0x t + ½ axt2

Expert Solution

Step 1

How far the ball lands (the horizontal distance) can be found using the equation c. $∆ x = v_{0 x} t + \frac{1}{2} a_{x} t^{2}$

The gravitational force is acting in vertical direction, so $a_{x} = 0$ .

The above equation becomes

$\begin{array}{rcl} ∆ x & = & v_{0 x} t + \frac{1}{2} (0) t^{2} \\ = & v_{0 x} t \end{array}$

Therefore, to determine how far the ball lands the equation used is c. $∆ x = v_{0 x} t + \frac{1}{2} a_{x} t^{2}$

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