Motion Problems with Derivatives

Question 6 (assume ball is descending)

A particle moves along the x-axis, given by y=t²-4t+2. Find the velocity at t=3.

When you take the derivative of a function, you are finding

The distance travelled by a car is given by s=150t²+10t. When does the velocity reach 100km/h?

When you take the derivative of a distance vs time graph, you are finding:

A rocket travels upward a distance s=t⁴ in the first t seconds of takeoff. Find dist. after 3s.