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A BMX bicycle rider takes off from a ramp at a point 2.4 m above the...

A BMX bicycle rider takes off from a ramp at a point 2.4 m above the ground. The ramp is angled at 40∘ from the horizontal, and the rider's speed is 5.9 m/s when he leaves the ramp.

At what horizontal distance from the end of the ramp does he land?

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Answer #1

Initial height of bicycle

Angle of projection

Initial speed of projection

Horizontal component of initial velocity

Vertical component of initial velocity

Using

In the vertical direction, ( negative sign indicates the direction of displacement and acceleration is downward )

Solving above quadratic equation,

Time taken by rider to reach ground is

Horizontal distance from the end of the ramp is

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