Distinguishing Motion Equations in Chapter 4

Distinguishing Motion Equations in Chapter 4

We've introduced 4 new equations in this chapter. We've learned how to calculate:
1) Average Speed
2) Acceleration
3) Instantaneous Speed
4) Distance Fallen

​

4 Major Equations

​1)

​2)

​3)

​4)

​When you read:
"on average"
"about how fast"
"about hwo

​When you read:
"acceleration"
"rate velocity changes"
"speeding up"
"slowing down"

​When you read:
"instantaneous speed"
"how fast at _ seconds"
"speed at _ seconds"

​When you read:
"how far did it fall"
"accelerating"
"falling"
"how high"
"how tall"

​Practice identifying what equation is needed to solve each problem!

Multiple Choice

A rock is dropped from a large cliff. If it takes 5 seconds to reach the ground, how high is the cliff?

• $$v_{average\ }=\ \frac{d}{t}$$

• $$a\ =\ \frac{\Delta v}{t}$$

• $$v\ =\ a\ \times\ t$$

• $$d\ =\ \frac{1}{2}at^2$$

Multiple Choice

A hitchhiker takes a trip from their hometown to Los Angeles. If it takes them 5 hours to make the 345 mile trip, how fast were they travelling on average?

• $$v_{average\ }=\ \frac{d}{t}$$

• $$a\ =\ \frac{\Delta v}{t}$$

• $$v\ =\ a\ \times\ t$$

• $$d\ =\ \frac{1}{2}at^2$$

Multiple Choice

How far will a freely falling object fall from rest in 6 seconds?

• $$v_{average\ }=\ \frac{d}{t}$$

• $$a\ =\ \frac{\Delta v}{t}$$

• $$v\ =\ a\ \times\ t$$

• $$d\ =\ \frac{1}{2}at^2$$

Multiple Choice

What is the acceleration of a car moving along a straight-line path that increases its speed from zero to 100 km/h in 10 seconds?

• $$v_{average\ }=\ \frac{d}{t}$$

• $$a\ =\ \frac{\Delta v}{t}$$

• $$v\ =\ a\ \times\ t$$

• $$d\ =\ \frac{1}{2}at^2$$

Multiple Choice

For a freely falling object dropped from rest, what is the instantaneous speed at the end of the 5th second of fall?

• $$v_{average\ }=\ \frac{d}{t}$$

• $$a\ =\ \frac{\Delta v}{t}$$

• $$v\ =\ a\ \times\ t$$

• $$d\ =\ \frac{1}{2}at^2$$

Multiple Choice

A car travels at a speed of 45 mi/hr on cross streets but speeds up to 70 mi/hr getting onto the freeway. If it takes 4 seconds for the car to speed up, what is the car's acceleration?

• $$v_{average\ }=\ \frac{d}{t}$$

• $$a\ =\ \frac{\Delta v}{t}$$

• $$v\ =\ a\ \times\ t$$

• $$d\ =\ \frac{1}{2}at^2$$

Multiple Choice

A peach drops from a tree and hits the ground in 2.4 seconds. What is its speed just before it hits the ground?

• $$v_{average\ }=\ \frac{d}{t}$$

• $$a\ =\ \frac{\Delta v}{t}$$

• $$v\ =\ a\ \times\ t$$

• $$d\ =\ \frac{1}{2}at^2$$

Multiple Choice

A dragster going at 15 m/s north speeds up to 25 m/s north in 4 seconds. What is its acceleration during this time interval?

• $$v_{average\ }=\ \frac{d}{t}$$

• $$a\ =\ \frac{\Delta v}{t}$$

• $$v\ =\ a\ \times\ t$$

• $$d\ =\ \frac{1}{2}at^2$$

Multiple Choice

An apple drops from a tree and hits the ground in 1.5 seconds. How far did the apple fall?

• $$v_{average\ }=\ \frac{d}{t}$$

• $$a\ =\ \frac{\Delta v}{t}$$

• $$v\ =\ a\ \times\ t$$

• $$d\ =\ \frac{1}{2}at^2$$

Multiple Choice

A bowling ball rolls 8 meters in 4 seconds. How fast is the ball moving on average?

• $$v_{average\ }=\ \frac{d}{t}$$

• $$a\ =\ \frac{\Delta v}{t}$$

• $$v\ =\ a\ \times\ t$$

• $$d\ =\ \frac{1}{2}at^2$$

​Practice using the equations needed to solve each problem!

Math Response

A rock is dropped from a large cliff. If it takes 5 seconds to reach the ground, how high is the cliff?

Type answer here

Correct Answer: 125

Deg^°

Rad

Math Response

A hitchhiker takes a trip from their hometown to Los Angeles. If it takes them 5 hours to make the 345 mile trip, how fast were they travelling on average?

Type answer here

Correct Answer: 69

Deg^°

Rad

Math Response

How far will a freely falling object fall from rest in 6 seconds?

Type answer here

Correct Answer: 180

Deg^°

Rad

Math Response

What is the acceleration of a car moving along a straight-line path that increases its speed from zero to 100 km/h in 10 seconds?

Type answer here

Correct Answer: 10

Deg^°

Rad

Math Response

For a freely falling object dropped from rest, what is the instantaneous speed at the end of the 5th second of fall?

Type answer here

Correct Answer: 50

Deg^°

Rad

Math Response

A car travels at a speed of 45 mi/hr on cross streets but speeds up to 70 mi/hr getting onto the freeway. If it takes 4 seconds for the car to speed up, what is the car's acceleration?

Type answer here

Correct Answer: 06.25

Deg^°

Rad

Math Response

A peach drops from a tree and hits the ground in 2.4 seconds. What is its speed just before it hits the ground?

Type answer here

Correct Answer: 24

Deg^°

Rad

Math Response

A dragster going at 15 m/s north speeds up to 25 m/s north in 4 seconds. What is its acceleration during this time interval?

Type answer here

Correct Answer: 2.5

Deg^°

Rad

Math Response

An apple drops from a tree and hits the ground in 1.5 seconds. How far did the apple fall?

Type answer here

Correct Answer: 11.25

Deg^°

Rad

Math Response

A bowling ball rolls 8 meters in 4 seconds. How fast is the ball moving on average?

Type answer here

Correct Answer: 2

Deg^°

Rad

​Practice identifying the correct units on each answer!

Dropdown

A rock is dropped from a large cliff. If it takes 5 seconds to reach the ground, how high is the cliff? 125​

Select answer

Dropdown

A hitchhiker takes a trip from their hometown to Los Angeles. If it takes them 5 hours to make the 345 mile trip, how fast were they travelling on average? 69​

Select answer

Dropdown

How far will a freely falling object fall from rest in 6 seconds? 180​

Select answer

Dropdown

What is the acceleration of a car moving along a straight-line path that increases its speed from zero to 100 km/h in 10 seconds? 10​

Select answer

Dropdown

For a freely falling object dropped from rest, what is the instantaneous speed at the end of the 5th second of fall? 50 ​

Select answer

Dropdown

A car travels at a speed of 45 mi/hr on cross streets but speeds up to 70 mi/hr getting onto the freeway. If it takes 4 seconds for the car to speed up, what is the car's acceleration? 6.25 ​

Select answer

Dropdown

A peach drops from a tree and hits the ground in 2.4 seconds. What is its speed just before it hits the ground? 24​

Select answer

Dropdown

A dragster going at 15 m/s north speeds up to 25 m/s north in 4 seconds. What is its acceleration during this time interval? 2.5​

Select answer

Dropdown

An apple drops from a tree and hits the ground in 1.5 seconds. How far did the apple fall? 11.25​

Select answer

Dropdown

A bowling ball rolls 8 meters in 4 seconds. How fast is the ball moving on average? 2​

Select answer