A skateboarder free-fell 26 ft onto a ramp. The distance s(t), in feet, traveled by a body falling freely from rest in t seconds is approximated by s (t )equals 16 t squared. Estimate the skateboarder's velocity at the moment he touched down onto the ramp.

At the apex, just before the fall, the skateboarder velocity is zero. The velocity of an object, initially at rest and accelerating at a constant rate, is:

[tex]V =a*\frac{t^2}{2}\\V= 32.17\frac{1.625}{2}\\V=26.14\ ft/s[/tex]

The skateboarder's velocity at the moment he touched down onto the ramp was 26.14 ft/s.

A skateboarder​ free-fell 26 ft onto a ramp. The distance​ s(t), in​ feet, traveled by a body falling freely from rest in t seconds is approximated by s (t )equals 16 t squared. Estimate the​ skateboarder's velocity at the moment he touched down onto the ramp.

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A skateboarder free-fell 26 ft onto a ramp. The distance s(t), in feet, traveled by a body falling freely from rest in t seconds is approximated by s (t )equals 16 t squared. Estimate the skateboarder's velocity at the moment he touched down onto the ramp.