A particle has velocity v(t)=t²−7t+10 m/s. Find the time interval, in seconds, between the two instants at which it is at rest.
Physics · Mathematical tools and vector · Quadratic Equation
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Question

A particle has velocity v(t)=t²−7t+10 m/s. Find the time interval, in seconds, between the two instants at which it is at rest.

G1 Physics · Accepted Answer

Set v=0: t²−7t+10=(t−2)(t−5)=0. The particle is at rest at 2 s and 5 s. The interval is 5−2=3 s.