Distance Traveled by Accelerating Car

How far does a car traveling 35.0 m/s accelerate at 3.00 m/s² travel after 4.00 seconds?

a) 129 m

b) 164 m

c) 176 m

d) 212 m

Final answer:

The car travels a distance of 176 m after 4 seconds.

Have you ever wondered how far a car traveling at a certain speed would travel after accelerating for a specific amount of time?

In this case, we have a car traveling at 35.0 m/s and accelerating at a rate of 3.00 m/s². The question asks how far this car will travel after 4.00 seconds of acceleration.

To calculate the distance traveled by the car, we can use the following equation:

d = v0t + 1/2at²

Where: d = distance traveled v0 = initial velocity (35.0 m/s) t = time taken (4.00 seconds) a = acceleration (3.00 m/s²)

Plugging in the values, we get:

d = (35.0 m/s)(4.00 s) + 1/2(3.00 m/s²)(4.00 s)²

Simplifying the equation, we find that the car travels a distance of 176 meters after accelerating for 4 seconds.