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8 days ago

14

For a short time the position of a roller-coaster car along its path is defined by the equations r=25 m, θ=(0.3t) rad, and z=(−8

cosθ) m, where t is measured in seconds, Determine the magnitudes of the car's velocity and acceleration when t=4s .

1 answer:

ValentinkaMS [2.4K]8 days ago

8 0

Answer:

Velocity = v = 2.24 m/s

Acceleration = a = 0.20 m/s²

Explanation:

Refer to the attachment below.

Given

z=(−8 cosθ) and θ = 0.3t

z = -8Cos (0.3t)

V = dz/dt

a = v²/R.

Please see full solution below.

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