Question

Problem 33a

Answer 1

Given information

Given a diver leaves the end of a  -m-high diving board and strikes the water later, beyond the end of the board. Considering the diver as a particle.

To determine her initial velocity, .

Step-by-step explanation

Step 1.

After the person jumped off, she follows a parabolic path and undergoes projectile motion. Assuming that air resistance is negligible, kinematic equations for two dimensions can be used to calculate its initial speed.

Recall that in this case of projectile motion, the magnitude and direction of the initial velocity  can be calculated using its components  and  as shown by the equations below.

where  is the angle the velocity vector makes with the horizontal.

Furthermore, the horizontal velocity remains constant all throughout the object's motion while the vertical velocity changes because of the downward acceleration with a magnitude of  .