Final answer:
The formula v^2 = u^2 + 2as suggests an impossibility with a negative result under the square root when calculating velocity. There is likely an error in the given parameters with acceleration being negative and the car starting from rest.
Step-by-step explanation:
To find the velocity of the car after traveling 25 meters, starting from rest and accelerating at -0.30 m/s², we can use the kinematic equation:
v2 = u2 + 2as
where:
v = final velocity
u = initial velocity (which is 0 since the car starts from rest)
a = acceleration
s = distance traveled
Substitute the known values:
v2 = 0 + 2(-0.30)(25)
v2 = -15
v = √(-15)
Since a negative under the square root is not possible in real numbers, this indicates an inconsistency in the problem as it suggests the car is accelerating in the opposite direction of the travel. If the negative sign is an indication of deceleration, then the car cannot have traveled 25 meters under constant deceleration starting from rest. The student needs to verify the problem's parameters and ensure the values provided are correct.