Albert dressed as TWO-FACE flips a coin up in the air at an upward velocity of 5.00 m/s. He fails to catch it on the way down and it falls down an 8.5 m deep well. Calculate the maximum height and maximum magnitude (could be positive or negative) of velocity of the coin.

1.28 m, 14 m/s

Explanation:

At the maximum height, the velocity is 0.

Given:

a = - 9.8 m/s²

v₀ = 5.00 m/s

v = 0 m/s

x₀ = 0 m

Find:

x

v² = v₀² + 2a (x - x₀)

(0 m/s) ² = (5.00 m/s) ² + 2 (-9.8 m/s²) (x - 0 m)

x = 1.28 m

The maximum speed is at the bottom of the well.

Given:

a = - 9.8 m/s²

v₀ = 5.00 m/s

x₀ = 0 m

x = - 8.5 m

Find:

v

v² = v₀² + 2a (x - x₀)

v² = (5.00 m/s) ² + 2 (-9.8 m/s²) (-8.5 m - 0 m)

v = - 13.8 m/s

Rounded to 2 sig-figs, the maximum speed is 14 m/s.