Question

8.  The ball is punted with a resultant velocity of 12 m/s at a resultant angle of 37 degrees.  

What is the vertical displacement of the ball at its highest peak?

9.  The ball is punted with a resultant velocity of 8 m/s and a horizontal velocity of 7 m/s.  

                  a. What is the vertical displacement of the ball at its highest peak?

Answer 1

8. At the maximum height, the velocity of the particle is horizontal. The vertical component is this zero at the highest point. The maximum height is the y-coordinate of the particle when the vertical component of velocity becomes zero.

We have,

  

  

At the maximum height,

  

The maximum height,

  

  

Here the resultant velocity v =12m/s

So the horizontal veloity u = v cos = 12 cos 37

=9.58 m/s

angle = 37°   

The vertical displacement of the ball at its highest peak =maximum height

=

= 1.696 m

9) Here the horizontal velocity u =7 m/s is given.

Therefore the vertical displacement of the ball at its highest peak = maximum height

=

  =0.91m