Question

Question #e6bcc

Answer 1

`"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.