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

Answer:

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  = $(\frac{v + u}{2}) t$  

x is the distance

v is the final velocity

u is the initial velocity

t is the time

   50 = $\frac{5 + 25}{2}$  x t

   50  = 15 x t

   t  = 3.3s

Average velocity  = $\frac{v + u}{2}$   = $\frac{5+25}{2}$   = 15m/s