In this lesson, we will learn how to use integration to get the average and instantaneous velocities and displacement vectors of a particle in straight-line motion.

Students will be able to

Q1:

If the acceleration of an object is given by aij(𝑡)=3−4𝑡, find the object’s velocity function given that the initial velocity is vi(0)=2.

Q2:

An object's acceleration is given by aij(𝑡)=4(2𝑡)+6(2𝑡)cossin. Find the object's velocity function if its initial velocity is v0(0)=.

Q3:

If the acceleration of an object is given by aijk(𝑡)=2𝑡+1+𝑒−(9𝑡)sin, find the object’s position function given that the initial velocity is v(0)=0.

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