Final answer:
To calculate the acceleration of a car that goes from rest to 23 m/s over 30 meters, you can use the equation v^2 = u^2 + 2as. Solving for acceleration 'a', it comes out to be 8.817 m/s^2.
Step-by-step explanation:
To find the acceleration of a car that accelerates from rest to 23 m/s over a distance of 30 meters, you can use the kinematic equation for uniformly accelerated motion which does not require time:
v2 = u2 + 2as
Where v is the final velocity (23 m/s), u is the initial velocity (0 m/s, since the car starts from rest), a is the acceleration,
and s is the distance covered (30 meters).
Plugging the given values into the equation, we get:
232 = 02 + 2a(30)
529 = 60a
a = 529 / 60
a = 8.817 m/s2
Therefore, the acceleration of the car is 8.817 m/s2.