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A race car starts from rest and speeds up uniformly to the right until it reaches a maximum velocity of 60\,\dfrac{\text m}{\text s}60 s m ​ 60, space, start fraction, m, divided by, s, end fraction in 15 \,\text s15s15, space, s. What is the acceleration of the race car?

Respuesta :

a car starts from rest so its initial speed is ZERO

[tex]v_i = 0 m/s[/tex]

now car accelerates uniformly and reached to final speed 60 m/s

so we can say

[tex]v_f = 60 m/s[/tex]

time taken to increase the speed is given as

[tex]\Delta t = 15 s[/tex]

now we know that acceleration is rate of change in velocity

[tex]a = \frac{v_f - v_i}{\Delta t}[/tex]

[tex]a = \frac{60 - 0}{15} = 4 m/s^2[/tex]

so the acceleration of the car must be 4 m/s^2

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