An object accelerates from rest to a velocity of 4.0 m/s over a distance of 20 m. What was its acceleration?
Physics · Middle School · Tue Nov 03 2020
Answered on
Given:
Initial Velocity: 0 m/s (rest)
Final Velocity: 4.0 m/s
Distance: 20 m
Determine the acceleration.
Formula for velocity:
v = d/t
Formula for acceleration:
a = change in v/t
Solution:
In order to determine the acceleration, we must first solve for the time, since we are given the distance and the final g tvelocity, we can easily solve for time by deriving the equation of the velocity.
v = d/t
t = d/v
t = 20 m / 4 m/s
t = 5 s
Now that we've determined t, we can easily solve for the acceleration by substituting the values to the formula for acceleration.
a = 4 m/s - 0 m/s / 5 s
a = 4m/s /5 s
a = 0.8 m/s^2
Final answer:
a = 0.8 m/s^2