18. Exercises
From Mechanics
| Theory | Exercises |
Exercise 18.1
As a car moves along a straight rod the distance, \displaystyle s metres, of a car from the origin at time \displaystyle t seconds is given by:
\displaystyle s=\frac{{{t}^{3}}}{3}-\frac{{{t}^{4}}}{60} for \displaystyle 0\le t\le 10.
a) By differentiating, find an expression for the velocity of the car at time \displaystyle t.
b) Find an expression for the acceleration of the car at time \displaystyle t.
c) Find the times when the acceleration of the car is zero.
Answer a
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Answer b
Answer c
Solution a
Solution b
Solution c
