Do Now warm-up prompt

Average Speed - how much distance an object covers per unit time

Read What is Physics? and Answer These Questions

Sheldon from the Big Bang explains physics

Why is Science Important?

from Alom Shaha on Vimeo.

“The most incomprehensible thing about the universe is that it is comprehensible.”

— Einstein

Over-Arching Concept: If a mass speeds up, slows down or changes direction, a net Force must be present. — Newton

Video Instruction

showmethephysics.com

Fill in the Blank Notes

Enduring Understandings

1. Speed is the distance traveled per unit time.

2. Speed is measured in meters/sec.

3. A meter is about a yard.

4. Average walking speed is 1 m/s.

Unit I - Mechanics

Study of the relationship between force and motion

Boy running with a soccer ball

I. Kinematics

Mathematical methods of describing and predicting motion

Top view of a woman walking

Describe motion by using:

A) Average Speed

Average Speed of 120 miles per hour can also be written ... 120 miles/hr

per = divided by

Could mean travelled 120 miles in one hour, OR ... 60 miles in 1/2 hour (30 minutes), 30 miles in 15 minutes, OR 15 miles in 7.5 minutes.

Speedometer gauge
Can you believe the speed limit in Calgary, Canada is 100!!
Canadian speed limit sign showing 100 km/h

100 km/hr ≈ 60 mph

Avg. Speed - how much distance an object covers per unit time

1) Units: m/s, km/hour, miles/hour

Average Speed = Δd/Δt

Distance

Meter stick

(meter ≈ 1 yard)

(km ≈ .6 miles)

Time

Stopwatch

secs, minutes, hours

Ex 1

Given

An object travels 5.0 meters in 2.0 seconds.
Find: its speed.

↓

Speed = Δd/Δt
= 5.0 m / 2.0 sec

= 2.5 m/s

Ex 2

Given

An object moves at a rate of 3.0 m/s for 1.5 seconds.
Find: how far did the object move?

↓

Speed = Δd/Δt →
3.0 m/s = Δd / 1.5 sec

Δd = 4.5 m

Motion map for 3.0 m/s over 1.5 seconds
Motion Map — 3.0 m/s for 1.5 seconds, Δd = 4.5 m
Motion map diagram
Muybridge animated race horse
Photos made by Eadweard Muybridge (1830-1904). Animation by User Waugsberg. Public Domain.

Ex 3

Given

An object moves at a rate of 4.0 m/s over a distance of 10. meters.
Find: how long did it take to travel that distance? t = ?

↓

Speed = d/t →
4.0 m/s = 10. m/t (Cross Multiply)

(4.0 m/s)t = 10. m (Divide by 4)

t = 2.5 seconds

Motion map for 10 meters at 4 m/s
Motion Map — How much time to travel 10 m @ 4 m/s? t = 2.5 seconds
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Check Your Understanding

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

1. What does average speed measure?

2. An object travels 12 m in 4.0 s. What is its average speed?

3. An object moves at 2.0 m/s for 6.0 s. How far does it travel?

4. An object moves at 5.0 m/s over a distance of 20. m. How long does the trip take?

5. Which is closest to the average walking speed of a person?

NYSSLS Regents Practice · Kinematics · Analyzing Data

The Morning Commute

A student used a phone app to record her trip to school. She walked to a bus stop, waited for the bus, and then rode the bus to school. The data are shown in Table 1.

Table 1: Commute Data

Part of TripDistance (m)Time (s)
Walk to bus stop400300
Wait at bus stop0120
Bus ride3600480
Total4000900

What was the student’s average speed for the entire trip?

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

Challenge score: 0 / 6

Substitute values

C1. Substitute numerical values into a mathematical representation that can be used to determine the student’s average speed while walking to the bus stop. Then calculate the average speed.

v = m s = m/s
Multiple choice

C2. The bus’s average speed was 7.5 m/s, but its speedometer read 0 m/s at stoplights and 12 m/s on open roads. Which statement explains this?

Support or Refute · Justify

C3. A student makes the following claim.

Claim: The 120 seconds spent waiting at the bus stop lowered the student’s average speed for the whole trip.

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

Determine the value

C4. One day the student misses the bus and walks the entire 4000 m to school at her walking speed from Table 1. Determine the time this walk takes.

t = s
Multiple choice

C5. The school district wants every student’s total commute to take no more than 600 s. If this student’s walk and wait stay the same, what average speed must the bus have over its 3600-m route?

Constructed response

C6. The school suggests that the student ride a bike the full 4000 m at an average speed of 5.0 m/s instead of walking and taking the bus. Using data from Table 1, determine whether biking would make the trip shorter, and identify one drawback of this plan.