Andy is waiting at the signal. As soon as the light turns green, he accelerates his car at a uniform rate of 8.00 meters/second2. What is the displacement of Andy’s car after 30.0 seconds?
To find the displacement of Andy's car after 30.0 seconds, we can use the formula:
displacement = initial velocity * time + (1/2) * acceleration * (time^2)
First, we need to calculate the initial velocity. Given that Andy is waiting at the signal, we can assume he starts from rest, so the initial velocity is 0 m/s.
Using the given acceleration of 8.00 m/s^2 and the time of 30.0 seconds, we can substitute these values into the formula:
displacement = 0 * 30.0 + (1/2) * 8.00 * (30.0^2)
Simplifying further:
displacement = 0 + (1/2) * 8.00 * 900.0
displacement = (1/2) * 7200.0
Ultimately, the displacement of Andy's car after 30.0 seconds would be 3600.0 meters.