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A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds. What is the acceleration?
A.–13 m/s2
B.–6 m/s2
C.6 m/s2
D.13 m/s2

Respuesta :

nobrains
Vi = Velocity initial = 35 m/s
Vf = Velocity final = 75 m/s
t = 5s

Equation:
Vf = Vi + at
65 = 35 + a(5)
30 = 5a
a = 6

Acceleration was 6 m/s^2
C. 6 m/s^2
nuhulawal20

The acceleration of the car traveling in the race is 6m/s².

Hence, Option C) 6m/s² is the correct answer.

Given the data in the question;

  • Initial velocity; [tex]u = 35m/s[/tex]
  • Final velocity; [tex]v = 65m/s[/tex]
  • Time taken; [tex]t = 5s[/tex]

Acceleration; [tex]a =\ ?[/tex]

To determine the acceleration of the car, we use the first equation of motion:

[tex]v = u + at[/tex]

Where v is the final velocity, u is the initial velocity, a is the acceleration and t is time.

We substitute our given values into the equation

[tex]65m/s = 35m/s + [ a * 5s]\\\\a * 5s = 65m/s - 35m/s\\\\a * 5s = 30m/s\\\\a = \frac{30m/s}{5s}\\\\a = 6m/s^2[/tex]

The acceleration of the car traveling in the race is 6m/s².

Hence, Option C) 6m/s² is the correct answer.

Learn more: https://brainly.com/question/13408260

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