The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 6.4 m/s. Neglect nonconservative forces, such as friction and air resistance, and find the height h of the highest point reached by the skateboarder on the right side of the ramp.

2.087m

Explanation:

Using the formula for calculating the maximum height reached by an object expressed as:

H = u²/2g

u is the initial speed

g is the acceleration due to gravity

Given

u = 6.4m/s

g = 9.81m/s²

Substitute into the formula:

H =  6.4²/2(9.81)

H = 40.96/19.62

H = 2.087m

Hence the height h of the highest point reached by the skateboarder on the right side of the ramp is 2.087m

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