A girl has a constant acceleration of a 0 = 2.3 m/s 2 relative to a slide as she

Question

A girl has a constant acceleration of a0 = 2.3 m/s2 relative to a slide as she moves down.  While she is moving down, the slide is accelerating horizontally at as = 1.2 m/s2 relative to the ground as shown.  If the slide is L = 4 m long and is inclined at q = 34

A girl has a constant acceleration of a0 = 2.3 m/s2 relative to a slide as she moves down. While she is moving down, the slide is accelerating horizontally at as = 1.2 m/s2 relative to the ground as shown. If the slide is L = 4 m long and is inclined at q = 34degree, determine the horizontal distance the girl moves when she reaches the bottom of the slide. Assume that both the girl and slide are at rest when she is at the top of the slide.

Explanation / Answer

time to girl reached at bottom = t

a = a0 + as Cos(34)

a=3.295

s = ut + 1/2at^2

4 = 0 + 1/2(3.295)t^2

t^2 = 2.428

distance travel by slider

s = ut + 1/2at^2

s = 0+1/2(1.2)2.428

s= 1.28 m back side

s= 1.28 m

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