High School

A car slams on its brakes, creating an acceleration of [tex]-3.2 \, \text{m/s}^2[/tex]. It comes to rest after traveling a distance of [tex]210 \, \text{m}[/tex]. What was its velocity before it began to accelerate?

Show your work. The answer should be [tex]36.6 \, \text{m/s}[/tex].

Answer :

The velocity of the car before it began to accelerate is 36.6 m/s.

What is the initial velocity of the car?

The initial velocity of the car is calculated by applying the third kinematic equation.

v² = u² - 2as

where;

  • v is the final velocity of the car
  • u is the initial velocity of the car
  • a is the acceleration of the car
  • s is the distance travelled by the car

When the car stops, the final velocity, u will be equal to zero.

v² = u² - 2as

0 = u² - 2as

u² = 2as

u = √ (2as)

u = √ ( 2 x 3.2 x 210 )

u = 36.6 m/s

Learn more about initial velocity here: https://brainly.com/question/19365526

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