Do Now warm-up prompt

Acceleration - time rate of change in velocity (how quickly velocity is changing)

Fill In The Blank Notes

Warm-Up

What is the motion word that describes how quickly an object changes its velocity?

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See Acceleration in Action

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Video Instruction

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Enduring Understanding

1. Acceleration is the time rate of change in velocity. Includes direction.

2. There are 3 ways to accelerate — speed up, slow down, and change direction.

Ranking Task

Rank the accelerations below from smallest to greatest.

t (sec)012345
Car A70 m/s72 m/s74 m/s76 m/s78 m/s80 m/s
Car B0 m/s3 m/s6 m/s9 m/s12 m/s15 m/s
Car C90 m/s90 m/s90 m/s90 m/s90 m/s90 m/s
Car D100 m/s99 m/s98 m/s97 m/s96 m/s95 m/s
↓

Acceleration of Each Car

Car A: +2 m/s²
Car B: +3 m/s²
Car C: 0 m/s²
Car D: −1 m/s²

2 Ways to Have Zero Acceleration

a) Remain at Rest

Eskimo standing still while ice skating

b) Constant Velocity

Boy skateboarding at a constant velocity

1. Equation

a = ΔV/Δt = (Vf − Vi)/t

Ex 1

Action hero being chased by a helicopter
Given

Starting Velocity: 5 m/s West
Final Velocity: 25 m/s West
Time: 5 sec

↓

a = (Vf − Vi) / t
= 20 m/s West / 5 sec

a = 4 m/s² West

Ex 2

Girl running with a stick
Given

Starting Velocity: 20 m/s West
Final Velocity: 5 m/s West
Time: 5 sec

↓

a = (Vf − Vi) / t
= −15 m/s West / 5 sec

a = −3 m/s² West (3 m/s² East)

Man bending over backwards
Object is said to be “Accelerating Backwards” — the force required to slow an object always opposes the object's motion.
Two tilted ramps compared: bells at equal distances ring faster and faster, while bells spaced at 1, 4, 9, 16, and 25 units ring at a steady beat NYSSLS Reading Passage icon

NYSSLS Reading Passage · 1D Motion

Galileo's Bells: Timing Gravity with a Tilted Ramp and a Musician's Ear

Open Reading Passage → Regents Practice Version →

Check Your Understanding

5 quick questions — pick an answer to see if you’re right.

1. What is acceleration?

2. A car drives around a curve at a steady 20 m/s. Is it accelerating?

3. A car speeds up from 10 m/s east to 30 m/s east in 5 s. What is its acceleration?

4. A runner slows from 20 m/s west to 5 m/s west in 5 s. What is the acceleration?

5. A car's speedometer reads 90 m/s every second for 5 s while it drives in a straight line. What is its acceleration?

NYSSLS Regents Practice · Kinematics · Comparing Designs

Electric vs. Gasoline Car Acceleration

A car magazine tested how quickly two cars could reach highway speed on a straight, level track. Each car started from rest. The results are shown in Table 1.

Table 1: Acceleration Test Results

CarInitial Speed (m/s)Final Speed (m/s)Time (s)
Electric car0273.0
Gasoline car0279.0

Which statement correctly compares the average accelerations of the two cars?

▶ Want a challenge? Open 6 more Regents-style questions  (harder · mixed formats)

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Draw the vector · Determine the magnitude

C1. After its test, the electric car (moving to the right) brakes from 27 m/s to rest in 4.5 s. Choose the direction of its acceleration while braking and determine its magnitude.

car
●
a = m/s²
Multiple choice

C2. Which velocity–time graph best represents both cars? (Solid = electric, dashed = gasoline)

Substitute values

C3. The gasoline car accelerated uniformly from rest. Substitute numerical values into a mathematical representation that can be used to determine the distance the gasoline car traveled during its test. Then calculate the distance.

d = 12( m/s)( s) = m
Support or Refute · Justify

C4. A student makes the following claim.

Claim: The electric car traveled three times as far as the gasoline car during the test because its acceleration was three times as large.

Place a check mark in either the Support or Refute box. Justify your response using a mathematical relationship.

Multiple choice

C5. In which situation does the car have zero acceleration?

Constructed response

C6. Electric car makers advertise their large acceleration. Using data from Table 1, identify one benefit and one drawback of designing a car with a very large acceleration.