Calculating Displacement from Velocity-Time Graphs Practice Problems

Find the total displacement of an object during the time interval from t₁ = 2.0 seconds to t₂ = 4.5 seconds if the velocity function is v(t) = 30 + 12t, with v in m/s and t in seconds. Make use of calculus.

The given graph shows how a body's velocity changes over time. If the body is starting at x_o = 7m at t = 0s, what is its position at 10 s?

A boat comes to a stop due to a malfunctioning engine. The velocity vs time graph of the boat would look like the graph below. Determine the approximate distance the boat moves in meters (m) before it stops.