Answered: There is a trash basket ten meters away…

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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There is a trash basket ten meters away from a football. The basket is one and a half meters high. A person kicks the ball, with the aim of getting it into the basket. The ball is kicked at 45° and the ball is at 10[m/s]. Does the ball get into the basket? The basket is known to be one meter in diameter and the ball diameter is twenty centimeters.

Expert Solution

Step 1 :Introduction

In a projectile motion , the maximum height that can be reached is calculated by using the formula , $H = \frac{v^{2} \sin^{2} (θ)}{2 g}$ ,where $v = 10 m / s$ is the speed of the projectile , $g = 9.8 m / s^{2}$ is the acceleration due to gravity and $θ = 45 °$ is the angle of the projectile.

In a projectile motion , the horizontal range can be calculated by using the formula , $R = \frac{v^{2} \sin (2 θ)}{g}$ , where $v = 10 m / s$ is the speed of the projectile , $g = 9.8 m / s^{2}$ is the acceleration due to gravity and $θ = 45 °$ is the angle of the projectile.

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