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Physics / Physics for Scientists and Engineers, 6 / Chapter 3 / Problem 115

Physics for Scientists and Engineers, | 6th Edition | ISBN: 9781429201247 | Authors: Paul A. Tipler, Gene Mosca

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Darlene is a stunt motorcyclist in a traveling circus. For

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QUESTION:

Darlene is a stunt motorcyclist in a traveling circus. For the climax of her show, she takes off from the ramp at angle _0, clears a ditch of width L, and lands on an elevated ramp (height h) on the other side (Figure 3-42). (a) For a given height h, find the minimum necessary takeoff speed vmin needed to make the jump successfully. (b) What is vmin for L _ 8.0 m, _ _ 30, and h _ 4.0 m? (c) Show that regardless of her takeoff speed, the maximum height of the platform is h Ltan_0. Interpret this result physically. (Neglect any effects due to air resistance and treat the rider and the bike as if they were a single particle.)

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QUESTION:

Darlene is a stunt motorcyclist in a traveling circus. For the climax of her show, she takes off from the ramp at angle _0, clears a ditch of width L, and lands on an elevated ramp (height h) on the other side (Figure 3-42). (a) For a given height h, find the minimum necessary takeoff speed vmin needed to make the jump successfully. (b) What is vmin for L _ 8.0 m, _ _ 30, and h _ 4.0 m? (c) Show that regardless of her takeoff speed, the maximum height of the platform is h Ltan_0. Interpret this result physically. (Neglect any effects due to air resistance and treat the rider and the bike as if they were a single particle.)

ANSWER:

Step 1 of 4

(a)

The relationship between the vertical and horizontal displacement is given by,

…… (1)

Here, is the vertical displacement, is the horizontal displacement, is the velocity of projection and is the angle of projection.

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