Answered: A tennis player hits a ball into the…

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 tennis player hits a ball into the air with an initial velocity of 15 m/s at an angle of 50° to the horizontal. Assume no air resistance and acceleration due to gravity has a magnitude 9.81 m/s²

What is the balls total speed, v, in m/s after 1 second?

Expert Solution

Step 1

Given data:

The initial velocity of the ball at an angle is u=15 m/s.
The angle of inclination is θ=50^o.
The acceleration due to gravity is g=9.81 m/s².
The time is t=1 s.

The representation of ball with different velocity components is shown as,

Step 2

The horizontal component of the initial velocity can be calculated as,

$u_{x} = u \times \cos θ$

Substitute the known values in the above expression.

$u_{x} = 15 m / s \times \cos 50^{o} u_{x} = 13 m / s$

The vertical component of the initial velocity can be calculated as,

$u_{y} = u \times \sin θ$

Substitute the known values in the above expression.

$u_{y} = 15 m / s \times \sin 50^{o} u_{y} = 11.50 m / s$

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