Question

You go to the playground and slide down the slide, a 3.6-m-long ramp at an angle of 40. ∘ with respect to horizontal. The pants that you've worn aren't very slippery; the coefficient of kinetic friction between your pants and the slide is μk = 0.47. A friend gives you a very slight push to get you started.

Answer 1

Incomplete question.The complete question is here

You go to the playground and slide down the slide, a 3.6m  long ramp at an angle of 40 degrees with respect to horizontal. The pants that you've worn aren't very slippery; the coefficient of kinetic friction between your pants and the slide is 0.47. A friend gives you a very slight push to get you started.  

How long does it take you to reach the bottom of the slide?

Answer:

t= 1.612 sec

Explanation:

Given Data

µk=0.47

D=3.6 m

Angle=40°

To find

t (Time)=?

Solution

a = g(sinΘ - µkcosΘ)

where

a is an acceleration

g is gravity constant

Θ is an angle

µk the coefficient of kinetic friction

So

a=9.8(sin40°- 0.47cos40°)

a= 2.771 m/s²

to find t(time)

t = √[2D/a]

t= √[2*3.6/2.771]

t= 1.612 sec