# Find the velocity of the particle at time

[3marks] 3. The position function of a particle that moves in a straight line is s(t ) = 2 t + cos(2 t ) [5 marks] a) Find the velocity of the particle at time t b) For what values of t in the interval 0 t 3 is the particle at rest? c) What is the maximum velocity of the particle? 4. The value of an investment is modelled by 𝐴(𝑡) = 𝐴0 𝑒 0.065𝑡 , where A is the amount the investment is worth after t years and A0 is the initial amount invested [6 marks] a) If the initial amount was $3000, what is the value of the investment after 5 years? b) How long will take for the investment to double in value? c) At what rate is the investment growing at the time when its value has doubled?

Purchase answer to see full attachment