Concrete at a factory flows according to the following theoretical model:

What is the rate of change of the concrete flow?

If p(t) gives the position of an asteroid as a function of time, find the function which models the velocity of the asteroid as a function of time.

A body's position "s" is given by the equation:

,

a) Find the body's speed at the endpoints of the given interval

b) Find the body's acceleration at the endpoints of the given interval

At any time t, the position of a body is given by the equation:

Find the body's acceleration at each time the velocity is zero.

Determine the velocity of a particle at x=10 when the position function is given by

Given j(k), find the rate of change when k=5.

Find the time at which the rate of change of the function is equal to 3:

Find the speed of the car at t=5 if its position is given by

A group of scientists use the following code for describing velocity and acceleration of particles:

, when both the velocity and acceleration are positive;
, when the velocity is positive, but the acceleration is negative;
, when the velocity is negative, but the acceleration is positive;
, when both the velocity and acceleration are negative.

What code - at t=2 - will the scientists use when describing a particle moving with a position function given by the following equation:

A fluid cools with time according to the equation

What is the cooling rate at a temperature of 29?