Exercises for Question Type 1: Given the displacement or velocity, finding the velocity or acceleration respectively

Question 1

Skill question

Given the velocity $v (t) = t e^{- 2 t}$ , find the acceleration $a (t)$ .

Question 2

Skill question

Given the displacement $s (t) = \frac{s i n t}{t}$ , find the velocity $v (t)$ .

[2]

Question 3

Skill question

Given the velocity $v (t) = 6 t^{2} - 4 t + 3$ , find the acceleration $a (t)$ .

[2]

Question 4

Skill question

Given the velocity $v (t) = \frac{e ^{t}}{t}$ , find the acceleration $a (t)$ .

[3]

Question 5

Skill question

Given the displacement $s (t) = 4 t^{3} - 2 t^{2} + t - 7$ , find the acceleration $a (t)$ .

[3]

Question 6

Skill question

Given the displacement $s (t) = sin (t^{2})$ , find the acceleration $a (t)$ .

[5]

Question 7

Skill question

Given the displacement $s (t) = t^{3} sin t$ , find the velocity $v (t)$ .

[2]

Question 8

Skill question

Given the displacement $s (t) = 5 t^{2} - 3 t + 2$ , find the velocity $v (t)$ .

[2]

Question 9

Skill question

Given the displacement $s (t) = e^{2 t}$ , find the velocity $v (t)$ .

[2]

Question 10

Skill question

Given the displacement $s (t) = e^{- t} + sin (2 t)$ , find the velocity $v (t)$ .

[3]

Question 11

Skill question

Given the velocity $v (t) = ln (sin t)$ , find the acceleration $a (t)$ .

[3]

Question 12

Skill question

Given the velocity $v (t) = ln (t^{2} + 1)$ , find the acceleration $a (t)$ .

[2]

IB Mathematics Analysis and Approaches Question Type 1: Given the Displacement or Velocity, Finding the Velocity or Acceleration Respectively Exercises