The figure below shows a motorcycle leaving the end of a ramp with a speed of 39.0 m/s and following the curved path shown. At the peak of the path, a maximum height h above the top of the ramp, the motorcycle's speed is 37.1 m/s. What is the maximum height h? Ignore friction and air resistance. (Enter your answer in m.)

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The figure below shows a motorcycle leaving the end of a ramp with a speed of 390 ms and following the curved path shown At the peak of the path a maximum heigh class=

Respuesta :

The maximum height h of the curved path is 7.38 m.

Maximum height of the curved path

Apply the following kinematic equation;

v² = u² - 2gh

where;

  • v is the final velocity of the motorcycle
  • u is initial velocity of the motorcycle
  • h is the maximum height

(u² - v²)/2g = h

(39² - 37.1²)/(2 x 9.8) = h

7.38 m = h

Thus, the maximum height h of the curved path is 7.38 m.

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