Calculus

Displacement, Velocity, Acceleration

Instantaneous Velocity

         

The position (in meters) of an object moving in a straight line is given by s(t)=4t2+3t+14,s(t)=4t^2 + 3t + 14, where tt is measured in seconds. What is the equation of the instantaneous velocity v(t)v(t) of the particle at time t?t?

The position in meters of a particle at time tt is given by s(t)=t2+3ts(t)=t^2 + 3t, where tt is measured in seconds. What is the instantaneous velocity of the particle (in m/s) at time t=19t=19 seconds?

The position (in meters) of an object moving in a straight line is given by s(t)=5t3+12t2+5t+17,s(t)=5t^3 + 12t^2 + 5t + 17, where time tt is measured in seconds. What is the equation of the instantaneous velocity v(t)v(t) of the particle at time t?t?

The position (in meters) of a particle moving in a straight line is given by s(t)=t2+8t+18,s(t)=t^2 + 8t + 18, where tt is measured in seconds. What is the instantaneous velocity of the particle at t=12t=12 seconds?

The position (in meters) of a particle moving in a straight line is given by s(t)=4t3+6t+2,s(t)=4t^3+6t+2, where tt is measured in seconds. What is the instantaneous velocity of the particle at t=8t=8 seconds?

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