How to Calculate Speed with Uniform Acceleration
How can we determine the speed of an object with uniform acceleration?
Given that a car accelerates uniformly from rest at 3.20m/s2, what is the speed of the car when it has traveled a distance of 40.0m?
Understanding Speed with Uniform Acceleration
Calculating the speed of an object undergoing uniform acceleration involves using the equation vf = sqrt(2 * a * d), where vf is the final velocity, a is the acceleration, and d is the distance traveled.
Let's apply this formula to the given scenario of the car accelerating from rest at 3.20m/s2 and traveling a distance of 40.0m.
When a car accelerates uniformly from rest at 3.20m/s2, it means that its speed increases by 3.20 meters per second every second. This acceleration remains constant throughout the motion of the car.
To find the speed of the car when it has traveled a distance of 40.0m, we can plug in the values into the equation:
vf = sqrt(2 * 3.20 m/s2 * 40.0 m)
Calculating this, we get:
vf ≈ 16.00 m/s
Therefore, the speed of the car when it has traveled a distance of 40.0m is approximately 16.00 m/s.