Question

The impact is the first commercial electric car to be developed in over 60 years. during tests in 1994, the car reached a top speed of nearly 298.6 km/h. suppose the car started at rest and then underwent an average acceleration of 1.4 m/s2 . how long, in seconds, did it take the impact to reach its top speed?

Answer 1

Using the acceleration formula, it took the Impact approximately 59.24 seconds to reach its top speed of 298.6 km/h starting from rest, given an average acceleration of 1.4 m/s^2.

Step-by-step explanation:

To find out how long it took the Impact to reach its top speed, we can use the formula for acceleration a = (v_f - v_i) / t, where a is the acceleration, v_f is the final speed, v_i is the initial speed, and t is the time it takes to reach the final speed from the initial speed. The car starts from rest means the initial speed v_i is 0 m/s.

First, we need to convert the top speed from km/h to m/s, which is achieved by dividing the speed in km/h by 3.6 (since 1 km/h is equal to about 0.27778 m/s).

So the top speed in m/s is 298.6 km/h / 3.6 = 82.94 m/s.

Now using the given acceleration of 1.4 m/s2, we can calculate the time taken:

1. Set up the acceleration equation: 1.4 m/s2 = (82.94 m/s - 0 m/s) / t.
2. Rearrange to solve for t: t = 82.94 m/s / 1.4 m/s2.
3. Calculate t: t ≈ 59.24 seconds.

Therefore, it took the Impact approximately 59.24 seconds to reach its top speed.