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a motorcycle traveling 100m/s drives off a horizontal ramp and lands a horizontal distance of 40m away from the edge of the ramp, what is the height of the ramp?

Sagot :

We will have the following:

First, we determine the time it takes for the motorcycle to traverse the 40 m:

[tex]40m=(100m/s)t\Rightarrow t=0.4s[/tex]

Now, we will use the time to determine the height of the ramp:

[tex]\begin{gathered} d=(0m/s)(0.4s)+\frac{(9.8m/s^2)(0.4s)^2}{2}\Rightarrow d=\frac{98}{125}m \\ \\ \Rightarrow d=0.784m \end{gathered}[/tex]

So, the ramp was located 0.784 meters in height.

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