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18 May, 03:23

A roller coasters velocity at the top of the hill is 10 m/s. Two seconds later it reaches the bottom of the hill with a velocity of 26 m/s. What was the acceleration of the coaster

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  1. 18 May, 04:23
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    v₀ = initial velocity of the roller coaster at the top of hill = 10 m/s

    v = final velocity of the roller coaster at the bottom of hill = 26 m/s

    a = acceleration of the coaster = ?

    t = time of travel = 2 sec

    using the kinematics equation

    v = v₀ + a t

    inserting the values

    26 = 10 + a (2)

    subtracting 10 both side

    26 - 10 = 10 - 10 + 2 a

    16 = 2 a

    dividing both side by "2"

    16/2 = 2a/2

    a = 8 m/s²
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