A car has a velocity of 24 m/s. Two seconds later it reaches the bottom of the hill with a velocity of 45 m/s. What is the acceleration of the coaster?

a = 10.5 m/s²

Explanation:

In order to find the acceleration of the car we will use the basic definition of the acceleration, that is the rate of change of velocity. So, the definition of the acceleration of the car will be:

a = (Vf - Vi)/t

where,

a = acceleration = ?

Vf = Final Velocity = 45 m/s

Vi = Initial Velocity = 24 m/s

t = time = 2 s

Therefore,

a = (45 m/s - 24 m/s)/2 s

a = 10.5 m/s²

acceleration = (change in speed) / (time for the change)

change in speed = (20-120)= -100 m/s.

1.5 min = 90 sec

acceleration = -100/90 = -1.11 m/s^2.

we don't care about the 150kg or the 2,500 meters. they don't make any difference.

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