A particle’s displacement, sss metres, from a fixed origin at time ttt seconds, is given by the equation
s=4e0.2t s = 4e^{0.2t} s=4e0.2tFind an expression for the velocity, v m s−1v \text{ m s}^{-1}v m s−1, of the particle at time ttt seconds.
Select the correct answer from the options below:
v=20e0.2tv = 20e^{0.2t}v=20e0.2t
v=0.8e0.2tv = 0.8e^{0.2t}v=0.8e0.2t
v=0.8te0.2tv = 0.8te^{0.2t}v=0.8te0.2t
v=0.5e0.2tv = 0.5e^{0.2t}v=0.5e0.2t
375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.