High School

A daredevil on a motorcycle leaves the end of a ramp with a speed of 36.6 m/s, as shown in the figure below. If his speed is 34.1 m/s when he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance.

Answer :

The maximum height reached by the daredevil is approximately 67.4 meters.

Using the equation for conservation of mechanical energy, we can calculate the maximum height reached by the daredevil. At the start of the ramp, the initial kinetic energy is given by 1/2 * m * v_initial^2, where m is the mass of the daredevil and v_initial is the initial speed (36.6 m/s). The potential energy is given by m * g * h, where g is the acceleration due to gravity and h is the height. At the peak of the path, the kinetic energy is zero and the potential energy is at its maximum, m * g * h_max. By equating the initial and final energies and solving for h_max, we find that the maximum height reached is approximately 67.4 meters.

To learn more about kinetic energy, Click here: brainly.com/question/999862?

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