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.