Suppose the designers of the water slide want to adjust the height \(h\) above the water so that riders land twice as far away from the bottom of the slide. What would be the necessary height above the water?

A. \(1.2 \mathrm{~m}\)

B. \(1.8 \mathrm{~m}\)

C. \(2.4 \mathrm{~m}\)

D. \(3.0 \mathrm{~m}\)

A rider on a water slide goes through three different kinds of motion, as illustrated in Figure P3.78. Use the data and details from the figure to answer the above question.

Transcribed Image Text:

L= 6.0 m 1. The first section of the motion is a ramp with no friction: riders start at rest and accelerate down the ramp. 2. The second section of the motion is a circular segment that changes the direction of motion; riders go around this circular segment at a constant speed and end with a velocity- that is horizontal. r-1.5 m 0=45% h=0.60 m 3. The third section of the motion is a parabolic trajectory through the air at the end of which riders land in the water. FIGURE P3.78