Final answer:
The acceleration of the car that starts from rest and accelerates uniformly over a distance of 240 meters in 10.7 seconds is 4.19 m/s². This is calculated using the kinematic equation for uniform acceleration with an initial velocity of zero.
Step-by-step explanation:
The student is asking about the acceleration of a car that starts from rest and accelerates uniformly over a certain distance and time. To determine the acceleration, we can use the kinematic equation:
s = ut + ½at²
Where:
- s is the distance covered
- u is the initial velocity (which is 0 since the car starts from rest)
- a is the acceleration
- t is the time
Since the initial velocity (u) is 0:
s = ½at²
Rearranging for a:
a = 2s/t²
Substituting the given values (s = 240 m, t = 10.7 s):
a = 2 × 240 m / (10.7 s)²
a = 480 m / 114.49 s²
a = 4.19 m/s²
The acceleration of the car is therefore 4.19 m/s².