Math Problem Solver

QUESTION 1

(a) Using linear motion equations, it was found that the distance (s in metres) travelled by a car

followed

s =30 t+ 1

2

(−0.2) t2

Using differentiation, determine the maximum distance the car reaches, and how long it takes to reach that

maximum distance.

(b) Using the same equation, s = u t + 1

2

a t2, and that initially

u = 30 m/s,

a = −0.2 m/s2,

t = 200 s,

[20 marks]

using partial differentiation only, determine the change in distance if “u” decreases by 0.15 m/s, “a”

increases by 0.01 m/s2, and “t” decreases by 1 s.