Question

The position (in meters) of an object moving in a
straight line is given by s(t) = 4t^2 + 3t + 14, where
t is measured in seconds. What is the equation of the
instantaneous velocity v(t) of the particle at time t?​

Answer 1

Answer:The instantaneous velocity of an object is the limit of the average velocity as the elapsed time approaches zero, or the derivative of x with respect to t: v(t)=ddtx(t). v ( t ) = d d t x ( t ) . Like average velocity, instantaneous velocity is a vector with dimension of length per time.