Achild, starting from rest at the top of a playground slide, reaches a speed of 7.0 meters per second at the bottom of the slide. what is the vertical height of the slide? [neglect friction.]

The vertical height achieved by child during sliding is 2.50 m

Given data:

The initial speed of child is, u = 0 m/s. (Since child was initially at rest)

The final speed of child is, v = 7 m/s.

Apply first kinematic equation of motion to obtain the value of time (t) to achieve the vertical height (h) as,

Here, g is the gravitational acceleration.

Solving as,

Now, apply the second kinematic equation of motion as,

Thus, we can conclude that the vertical height of the slide is 2.50 m.

Learn more about kinematic equations of motion here:

link

one person pulls 90n one way and the other has 100n pulling the other way.

so the net force = 90 - 100 = -10n,

or the ans can be 10n if the picture shows -90n and 100n instead.