In this lesson, we will learn how to apply integrals to solve problems involving motion in a straight line.
Students will be able to
Q1:
A car, starting from rest, began moving in a straight line from a fixed point. Its velocity after π‘ seconds is given by π£=οΉ8π‘+6π‘ο /π‘β₯0.ο¨ms, Calculate the displacement of the car when π‘=9seconds.
Q2:
A particle is moving in a straight line such that its acceleration at time π‘ seconds is given by π=(2π‘β18)/π‘β₯0ms,ο¨. Given that its initial velocity is 20 m/s, find an expression for the displacement of the particle at time π‘.
Q3:
A particle is moving in a straight line such that its velocity at time π‘ seconds is given by π£=οΉ15π‘β8π‘ο /π‘β₯0ο¨ms,. Given that its initial position from a fixed point is 20 m, find an expression for its displacement at time π‘ seconds.
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