Physics- If an object accelerates from rest at 6 m/s, how long will it take to reach 30 meters?

Question

Thanks in advance if someone can help. At first I thought it was 5 seconds, but I am not sure. I dont think I understand the concept of acceleration completely.

Answer 1

The units you gave for acceleration are incorrect.
Acceleration is a change in velocity with respectt to time. Velocity is a change in distance or position with respec to time. Distance is measured in meters, therefore velocity is measured in m/s and acceleration is in m/s^2.

If an object accelerates from rest at a rate of 6 m/s^2, how long does it take for the object to move 6 meters?

Using the formula,
d = 1/2 at^2
where d is the distance traveled, a is the constant acceleration, and t is the time.
You are given d and a, solve for t.

Answer 2

A will assume that:
1) acceleration is constant
&
2) that the acceleration from 0 to 6 m/s is in 1 second.

If this is true, acceleration is 6m/s^.
from v=at
30m/s=6m/s^2 * t
t=5s

Answer 3

x = xo + voxt + 0.5at^2

30 = (0.5)(6)t^2

t = sqrt(10)

t = 3.2 seconds