Acceleration

Part 1: The concept of acceleration

  1. An object starts from rest and accelerates at +3 m/s2 for ten seconds. Its velocity at each second is shown. Fill in the missing velocities.

0 m/s +3 m/s ____ +9 m/s +12 m/s +15 m/s _____ +21 m/s +24 m/s +27 m/s_____

  1. An object with an initial velocity of +100 m/s undergoes an acceleration of -10 m/s2 for ten seconds. Its velocity at each second is shown. Fill in the missing velocities.

+100 m/s +90 m/s ____ +70 m/s ______+30 m/s +20 m/s +10 m/s____

  1. An object with an initial velocity of -25 m/s undergoes an acceleration of +5 m/s2 for ten seconds. Its velocity at each second is shown. Fill in the missing velocities.

-25 m/s -20 m/s ______0 m/s ______+15 m/s +20 m/s +25 m/s

  1. An object with an initial velocity of 0 m/s undergoes an acceleration of -2 m/s2 for ten seconds. Its velocity at each second is shown. Fill in the missing velocities.

0 m/s -2 m/s ______-10 m/s ______

  1. Enter the correct signs of the acceleration into this table. You can refer to examples 1–4 for help.

Speeding
up / Slowing down
positive direction
negative direction
  1. Circle the correct sign of the acceleration in each of these cases:

a)An object speeding up in the positive direction has (positive) (negative) acceleration.

b)An object slowing down in the positive direction has (positive) (negative) acceleration.

c)An object speeding up in the negative direction has (positive) (negative) acceleration.

d)An object slowing down in the negative direction has (positive) (negative) acceleration.

Acceleration

Part 1: The concept of acceleration

  1. An object starts from rest and accelerates at +3 m/s2 for ten seconds. Its velocity at each second is shown. Fill in the missing velocities.

0 m/s +3 m/s ____ +9 m/s +12 m/s +15 m/s _____ +21 m/s +24 m/s +27 m/s_____

  1. An object with an initial velocity of +100 m/s undergoes an acceleration of -10 m/s2 for ten seconds. Its velocity at each second is shown. Fill in the missing velocities.

+100 m/s +90 m/s ____ +70 m/s ______+30 m/s +20 m/s +10 m/s____

  1. An object with an initial velocity of -25 m/s undergoes an acceleration of +5 m/s2 for ten seconds. Its velocity at each second is shown. Fill in the missing velocities.

-25 m/s -20 m/s ______0 m/s ______+15 m/s +20 m/s +25 m/s

  1. An object with an initial velocity of 0 m/s undergoes an acceleration of -2 m/s2 for ten seconds. Its velocity at each second is shown. Fill in the missing velocities.

0 m/s -2 m/s ______-10 m/s ______

  1. Enter the correct signs of the acceleration into this table. You can refer to examples 1–4 for help.

Speeding
up / Slowing down
positive direction
negative direction
  1. Circle the correct sign of the acceleration in each of these cases:

a)An object speeding up in the positive direction has (positive) (negative) acceleration.

b)An object slowing down in the positive direction has (positive) (negative) acceleration.

c)An object speeding up in the negative direction has (positive) (negative) acceleration.

d)An object slowing down in the negative direction has (positive) (negative) acceleration.

Part 2: Problem solving

Use the interactive calculator on page 110 to check your work if you wish.

  1. What acceleration does it take to reach 15 m/s (from rest) in 5 seconds?
  1. Suppose you are traveling 15 m/s. What acceleration does it take to stop in 3 seconds?
  1. Suppose you start with an initial velocity of 10 m/s and have an acceleration of -2 m/s2. What is your final velocity after 9 seconds?
  1. How long should Pete’s approach to his long jump attempt be if he wants to be at a speed of 9m/s and can accelerate at 4 m/s2?
  1. A car slows from 24 m/s to 6 m/s in 3 seconds. What is its acceleration?

List its velocity at each second.

time / 0 s / 1 s / 2 s / 3 s
velocity / +24 m/s
  1. Jane is riding her bike at 10m/s when she begins to decelerate at 1.5 m/s2.
  2. How long will it take Jane to stop?
  3. How far will she have traveled in this time?

Part 2: Problem solving

Use the interactive calculator on page 110 to check your work if you wish.

  1. What acceleration does it take to reach 15 m/s (from rest) in 5 seconds?
  1. Suppose you are traveling 15 m/s. What acceleration does it take to stop in 3 seconds?
  1. Suppose you start with an initial velocity of 10 m/s and have an acceleration of -2 m/s2. What is your final velocity after 9 seconds?
  1. How long should Pete’s approach to his long jump attempt be if he wants to be at a speed of 9m/s and can accelerate at 4 m/s2?
  1. A car slows from 24 m/s to 6 m/s in 3 seconds. What is its acceleration?

List its velocity at each second.

time / 0 s / 1 s / 2 s / 3 s
velocity / +24 m/s
  1. Jane is riding her bike at 10m/s when she begins to decelerate at 1.5 m/s2.
  2. How long will it take Jane to stop?
  1. How far will she have traveled in this time?

****BE SURE TO COMPLETE BOTH SIDES!!!!!****