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
425 exam-style questions on OCR A Level Maths 1.7 Differentiation, covering 1.7.1 Derivative as gradient of the tangent, 1.7.2 Gradient of the tangent at a point, 1.7.3 Sketching the gradient function, 1.7.4 Second derivatives, 1.7.5 Second derivative as rate of change of gradient, 1.7.6 Convex, concave and points of inflection (A-level only), 1.7.7 Differentiation from first principles for powers of x, 1.7.8 Differentiation from first principles for sin x and cos x (A-level only), 1.7.9 Differentiating x^n, 1.7.10 Differentiating e^(kx) and a^(kx) (A-level only), 1.7.11 Differentiating trigonometric functions (A-level only), 1.7.12 Derivative of ln x (A-level only), 1.7.13 Tangents and normals, 1.7.14 Stationary points, 1.7.15 Increasing and decreasing functions, 1.7.16 Points of inflection (A-level only), 1.7.17 Product and quotient rules (A-level only), 1.7.18 Chain rule (A-level only), 1.7.19 Parametric and implicit differentiation (A-level only), 1.7.20 Constructing differential equations (A-level only), and 1.7 Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.