Kinematics Q1
Integration
The Velocity v(t) of a particle at time t seconds is given by v(t)=2t + Cos 2t. The graph of v(t) is given.
Find the distance travelled by the particle for different times and see what happens when:
i) a < b
ii) a>b
iii) a=b
Each time use different values of n (number of rectangles) and see what happens to the Upper Sum and the Lower sum and to the Integral value.
Use the pen option( in the text icon on geogebra) to sketch the graph of the distance vs t.