Traveling with an initial speed of 70 km/h, a car accelerates at 6000km/h^2 along a straight road. How long will it take to reach a speed of 120 km/h? Also, through what distance does the car travel during this time?

#### Solution:

Show me the final answerâ†“

To figure out the time it takes for the car to reach 120 km/h, we will use the following formula:

(Where v_2 is final velocity, v_1 is initial velocity, a is constant acceleration and t is time)

From the question, we are given the following:

v_1=70 km/h

a_c=6000 km/h^2

Let us substitute the valuesÂ into our equation.

t=0.0083\,\text{hrs}=29.8 s

To find the distance the car travels during this time, we will use the following equation:

(Where v_2 is final velocity, v_1 is initial velocity, a_c is constant acceleration, s_2 is final displacement, and s_1 is initial displacement)

Let us substitute the values we know:

s_2=0.792\text{km}=792 m

#### Final Answers:

Distance traveled during this time = 792 m