Question

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

Answer 1

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