Object 4, with initial condition p(0) = 10.0. The velocities follow a quadratic equation of the form

Question:

Object 4, with initial condition p(0) = 10.0. The velocities follow a quadratic equation of the form v(t) = t2/2 + at + b for some value of a.
The velocities of four objects are measured at discrete times.

Use Euler's method to estimate the position at t = 4 starting from the given initial condition. Next, find a formula for the velocities and use it to find the exact position at t = 4. Graph your results.