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A car is travelling at a steady velocity of 28 m/s. It accelerates for 6 seconds to overtake a van. Its new velocity is 32.5 m/s. Calculate the acceleration of the car.

Respuesta :

Answer: The acceleration of the car is [tex]0.75m/s^2[/tex]

Explanation:

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

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

where,

v = final velocity of the car = 32.5 m/s

u = initial velocity of the car = 28 m/s

a = acceleration of the car = ?

t = time taken = 6 sec

Putting values in above equation, we get:

[tex]32.5=28+(a\times 6)\\\\a=\frac{32.5-28}{6}\\\\a=0.75m/s^2[/tex]

Hence, the acceleration of the car is [tex]0.75m/s^2[/tex]