Question #e6bcc

1 Answer
Jun 27, 2017

Answer:

#"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.