Question

Please Help!
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of a car at different times.

Part B: How can you graph the equation obtained in Part A for the first two hours?

Answer 1

We will have to assume that the acceleration is constant to answer this problem.

If the acceleration is constant the velocity will be a straight line and the equation for velocity will be:
v(t) = at + b where a and b are unknown constants.

But we know when t = 2, v = 50
and when t = 6, v = 54.

Substitute v and t in v = at + b and solve for a and b.

Part B: Plot the graph. Find v(t) for t = 1, 2, 3, 4, 5, 6 and 7 and plot the points.

Answer 2

Thank you! And is v(t) = at + b standard form?