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?

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Chapter1: Units, Trigonometry. And Vectors
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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=50o.
  • 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,

Physics homework question answer, step 1, image 1

Step 2

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

ux=u×cosθ

Substitute the known values in the above expression.

ux=15 m/s×cos50oux=13 m/s

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

uy=u×sinθ

Substitute the known values in the above expression.

uy=15 m/s×sin50ouy=11.50 m/s

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