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Chain Rule, Log Differentiation & Rate of Change · Question 5 of 130

What is the particle's velocity at t = 3 s?

Question 5

EasyOriginal question

A particle's distance from a point after $t$ seconds is $s = \sqrt{t^{2} + 16}$ metres.

What is the particle's velocity at $t = 3$ s?

0.1 m/sCorrect answerYour answer0.6 m/sCorrect answerYour answer1.2 m/sCorrect answerYour answer5 m/sCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

$\frac{3}{\sqrt{9 + 16}} = \frac{3}{5}$ .
0.6 m/s.

Worth noting

5 m is the distance at $t = 3$ , not the velocity.

Concept: Velocity at an instant
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsThe chain rule

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