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:

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the ima (higher than 1m) will be greater than the ima with the height of 1m.