Question #e6bcc

1 Answer
Nathan L.
Jun 27, 2017

"Distance covered" = 39 "m"

Explanation:

We can use a kinematics equation to solve this...

Note: This roller coaster's acceleration is NOT -g, as it is not falling freely. Instead, it's traveling down a slope, and the acceleration of this coaster is assumed to be constant, which also implies the slope is constant..

Aside from that, we can find the distance Deltax covered using the equation

Deltax = ((v_x + v_(0x))/2)t

We know:

  • the velocity v_x at time t is 22 "m/s"

  • the initial velocity v_(0x) here is 4 "m/s"

  • the time t is 3 "s"

Plugging in the known values, we have

Deltax = ((22color(white)(l)"m/s" + 4color(white)(l)"m/s")/2)(3color(white)(l)"s")

Deltax = color(red)(39 color(red)("m"

Therefore, if the acceleration of the roller coaster is constant down the slope, it will have traveled a distance of color(red)(39 sfcolor(red)("meters" from the top of the slope to the bottom.

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