A European sports car dealer claims that his product will accelerate at a constant rate from rest to a speed of 100 km/hr in 6 s.What distance will the sports car travel during the 6 s acceleration period? (Hint: First convert speed to m/s. )

Question

Quizplus · Accepted Answer

First, we need to convert the speed to m/s.

100 km/hr = 27.78 m/s

To find the distance traveled during the 6 s acceleration period, we can use the following formula:

distance = (1/2) x acceleration x time^2

The acceleration is not given directly, but since the problem states that the acceleration is constant, we can use the following formula to find it:

acceleration = change in velocity / time

The change in velocity is simply the final velocity (100 km/hr or 27.78 m/s) minus the initial velocity (0 m/s):

acceleration = (27.78 m/s - 0 m/s) / 6 s = 4.63 m/s^2

Now we can plug in the values we have:

distance = (1/2) x 4.63 m/s^2 x (6 s)^2 = 83.2 m

So the distance traveled during the 6 s acceleration period is approximately 83 m.

Therefore, the best choice is C.

A European Sports Car Dealer Claims That His Product Will