Circular Motion | Car on a Curve | Dynamics

Welcome to Engineering Hack! In today's video we go over a problem that requires us to look into rectilinear motion and also circular motion. We need to apply basic concepts and integrate the acceleration to find a general velocity and position equations; then we can find these vectors at any given time (Problem 12.119).

Problem statement: The automobile is originally at rest at s = 0. If its speed is increased by 𝑣̇ =(0.05𝑡²) 𝑓𝑡/𝑠² where t is in seconds, determine the magnitudes of its velocity and acceleration when t = 18 s.

Answers:
Magnitude of acceleration = 42.6 ft/s²
Magnitude of velocity = 97.2 ft/s

To learn more please watch the video till end and if you have a question just ask in the comments section.
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