# 15) During an equestrian show jumping competition, a rider and her horse need to jump over...

###### Question:

15) During an equestrian show jumping competition, a rider and her horse need to jump over a fence that is 1.5 m tall. They take off from the ground with a horizontal velocity of 6.2 m/s and a vertical velocity of 2.5 m/s, giving them a projection speed of 6.7 m/s and a projection angle of 22°. The center of mass of the horse and rider is 1.94 m above the ground at the instant of takeoff, and for a successful clearance, needs to reach a height of at least 2.1 m during flight. Ignore effects of air resistance in answering the following questions. i) (1 pt) What equation is most appropriate for determining how far upward the center of mass of the horse and rider will travel from takeoff until reaching the apex of its flight? i) (1 pi) The height at takeoff being equal, which of the following changes would increase the peak height that the center of mass of the horse and rider reaches during flight? a. (T/F) The horse and rider take off at the same projection angle, but at a projection speed of 6.5 m/s b. (T/F) The horse and rider take off at the same projection speed, but at a projection angle of 25°

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