An object's two dimensional velocity is given by #v(t) = ( cost , -t^3 +4t )#. What is the object's rate and direction of acceleration at #t=3 #?
2 Answers
The rate of acceleration is
Explanation:
The acceleration is the derivative of the velocity
When
The rate of acceleration is
The direction is
Explanation:
As two dimensional velocity of object is given by
accelaration is given by
and at
or
and its magnitude is
and direction is