Final answer:
To calculate the displacement of a car accelerating from rest at -3 m/s^2 after 10 s, use the kinematic equation s = ut + ½at^2. Plugging in the values, the displacement is found to be -15 meters, indicating the car moved 15 meters in the opposite direction of positive displacement.
Step-by-step explanation:
To calculate the displacement of a car that accelerates from rest at -3 m/s2 after 10 s, we can use the kinematic equation for displacement (s), which is expressed as:
s = ut + ½at2
Where:
- u is the initial velocity (0 m/s, since the car is starting from rest),
- a is the acceleration (-3 m/s2), and
- t is the time (10 s).
Plugging in the values, we get:
s = (0 m/s)(10 s) + ½(-3 m/s2)(10 s)2
s = 0 + ½(-30 m/s2)
s = -15 m
The car will have a displacement of -15 meters. A negative displacement indicates that the car has moved 15 meters in the direction opposite to the designated positive direction.