# Question e6bcc

Jun 27, 2017

$\text{Distance covered} = 39$ $\text{m}$

#### 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 $\Delta x$ covered using the equation

$\Delta x = \left(\frac{{v}_{x} + {v}_{0 x}}{2}\right) t$

We know:

• the velocity ${v}_{x}$ at time $t$ is $22$ $\text{m/s}$

• the initial velocity ${v}_{0 x}$ here is $4$ $\text{m/s}$

• the time $t$ is $3$ $\text{s}$

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.