Question

If the speed of a car with a turbo engine can be

modeled as a function of time using the parabolic
equation s(t) = 2t^2 how many seconds will It take
the car to exceed the 65 mph?

Answer 1

Explanation:

The equation given to model the speed of the car is:

s(t) = 2t^2

where s(t) is the speed of the car in miles per hour at time t in seconds.

To find how many seconds it will take for the car to exceed 65 mph, we need to solve for t when s(t) = 65.

So we can set the equation equal to 65 and solve for t:

2t^2 = 65

t^2 = 32.5

t = ±√(32.5)

We can disregard the negative solution because time cannot be negative. So the time it will take for the car to exceed 65 mph is:

t = √(32.5) ≈ 5.7 seconds (rounded to one decimal place)

Therefore, it will take approximately 5.7 seconds for the car to exceed 65 mph.