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Differentiation

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Question 48

A particle’s displacement, $s$ metres, from a fixed origin at time $t$ seconds, is given by the equation

s = 4e^{0.2t}

Find an expression for the velocity, $\text{ m s}^{-1}$ , of the particle at time $t$ seconds.

Select the correct answer from the options below:

$v = 20e^{0.2t}$

$v = 0.8e^{0.2t}$

$v = 0.8te^{0.2t}$

$v = 0.5e^{0.2t}$

[3]

Markscheme

Differentiation Questions

A Level
Maths
Differentiation

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

Differentiation

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Question 48

A particle’s displacement, $s$ metres, from a fixed origin at time $t$ seconds, is given by the equation

s = 4e^{0.2t}

Find an expression for the velocity, $\text{ m s}^{-1}$ , of the particle at time $t$ seconds.

Select the correct answer from the options below:

$v = 20e^{0.2t}$

$v = 0.8e^{0.2t}$

$v = 0.8te^{0.2t}$

$v = 0.5e^{0.2t}$

[3]

Markscheme

Differentiation Questions

A Level
Maths
Differentiation