The discussion focuses on calculating the time required for an automobile to accelerate from 72.0 km/hr to 100.0 km/hr given a constant acceleration of 1.57 m/s². The relevant kinematic equation used is vf = vi + at, where vf is the final velocity, vi is the initial velocity, and a is the acceleration. The correct conversion of units is crucial, as 72.0 km/hr converts to 20.0 m/s and 100.0 km/hr converts to 27.78 m/s. The final calculation shows that the time taken to accelerate is approximately 17.83 seconds.
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lim said:Homework Statement
At highway speeds, a particular automobile is capable of an acceleration of about 1.57 m/s2. At this rate, how long does it take to accelerate from 72.0 km/hr to 100.0 km/hr?
Homework Equations
I was given: vf = vi + at
The Attempt at a Solution
Simplifying the velocities I got 28 = 1.57a
and a= 17.83 s.