Car Acceleration Joyride!

How fast can a car accelerate?

Let's say a car starts from rest and accelerates uniformly over a time of 7 seconds for a distance of 190m. What is the acceleration of the car?

Answer

The acceleration of the car is 7.75 [m/s²].

Explanation

To calculate the acceleration, we use the following kinematics equation:

x = x0 + v0*t + (1/2)*a*t2

where:

x = final distance = 190 [m]

x0 = initial distance = 0

v0 = initial velocity = 0 (car starts from rest)

a = acceleration [m/s²]

t = time = 7 [s]

190 = 0 + (0*7) + 0.5*a*(7²)

190 = 0.5*49*a

a = 7.75 [m/s²]

Have you ever wondered how fast a car can accelerate? Well, buckle up because we're about to take a joyride into the world of car acceleration! Imagine a scenario where a car goes from zero to hero in just 7 seconds, covering a distance of 190 meters.

When we crunch the numbers using the kinematics equation mentioned earlier, we find that the acceleration of the car is a whopping 7.75 meters per second squared! That's quite an impressive feat for our four-wheeled friend.

So next time you hit the gas pedal, think about the exhilarating acceleration your car is capable of. Here's to the thrill of speed and the joy of acceleration!

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