Question

A roller coaster car accelerates uniformly covers a distance of 50 m while increasing its speed

from 5.0 m/s to 25 m/s. How long does it take for this to occur? What is its average velocity over
this distance? (3.3 s. 15 m/s)
Proof please

Answer 1

Step-by-step explanation:

Given parameters:

Distance covered = 50m

Initial velocity = 5m/s

Final velocity = 25m/s

Unknown:

Time taken to cover the distance = ?

Average velocity = ?

Solution:

To solve this problem, we use the expression below:

x =
`((v + u)/(2)) t`

x is the distance

v is the final velocity

u is the initial velocity

t is the time

50 =
`(5 + 25)/(2)` x t

50 = 15 x t

t = 3.3s

Average velocity =
`(v + u)/(2)` =
`(5+25)/(2)` = 15m/s