Weekly Question

See the question below, this should be a simple and common question for differentiation and integration, weekly, we will post different questions to prepare students for the exam. Answer with explanation will be posted together to facilitate students in studying.

Question 20 July 2009:



Answer:
(i) To get the acceleration, we need to differentiate the velocity equation.

If acceleration is zero,

Remember to change the mode of calculator when calculating the t.
To find v, we have to substitute the answers we got previously.


(ii) In order to find the total distance, we have to integrate the velocity equation.
Total distance travelled for the first 1.5s:
Note: Remember to write the answers in 3 significant figures and don't forget about the unit as well, if applies.