do now!. todays lesson interpreting distance-time and speed-time graphs

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Page 1: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Do Now!

Page 2: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Today’s lesson

• Interpreting distance-time and speed-time graphs

Page 3: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

A reminder

Page 4: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

A reminder

Average speed = distance travelled

time taken

S tdx

Page 5: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Distance against time graphs

distance

time

Page 6: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Let’s go on the corridor!

Quietly and sensibly!

You’ll need a pencil and your

books

Page 7: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Distance/time graph

Distance /m

0 2 4 6 8 10 12 14 16

Time (slow)/s

Time (fast)/s

Distance/m 18 20 22 24 26 28 30 32

Time (slow/s

Time (fast)/s

Page 8: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

No movement?

distance

time

Page 9: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

No movement

distance

time

Page 10: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed?

distance

time

Page 11: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

distance

time

Page 12: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

distance

time

The gradient of this graph gives the speed

Page 13: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

distance

time

How would the graph look

different for a faster constant

speed (walking to Physics)?

Page 14: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

distance

time

fast

Page 15: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

distance

time

fast

How would the graph look

different for a slower constant

speed (walking to French)?

Page 16: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

distance

time

fast

slow

Page 17: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

distance

time

fast

slow

The gradient of the graph gives

the speed

Page 18: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

distance

time

Δy

Δx

Gradient = Δy/Δx

Page 19: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Let’s go on the corridor!

Quietly and sensibly!

You’ll need a pencil and your

books

Page 20: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Can you read what Mr Porter has written in your book and then

finish the questions you did last lesson?

Do now!

Page 21: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Distance/time graph - acceleration

Distance /m

0 2 4 6 8 10 12 14 16 18

Time/s

Distance/m 18 20 22 24 26 28 30 32

Time/s

Page 22: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Getting faster? (accelerating)

distance

time

Page 23: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Getting faster (accelerating)

distance

time

Page 24: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Examples

distance

time

Page 25: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

A car accelerating from stop and then hitting a wall

distance

time

Page 26: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

A car accelerating from stop and then hitting a wall

distance

time

Let’s try a simulation

Page 27: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Speed against time graphs

speed

time

Page 28: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Speed against time graphs

speed

time

Page 29: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

No movement?

speed

time

Page 30: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

No movement

speed

time

Page 31: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed?

speed

time

Page 32: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

speed

time

Page 33: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

speed

time

How would the graph look

different for a faster constant

speed?

Page 34: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

speed

time

fast

Page 35: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

speed

time

fast

How would the graph look

different for a slower constant

speed?

Page 36: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

speed

time

fast

slow

Page 37: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Getting faster? (accelerating)

speed

time

Page 38: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Getting faster? (accelerating)

speed

time

Constant acceleration

Page 39: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Getting faster? (accelerating)

speed

time

The gradient of this graph gives the acceleration

Page 40: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Getting faster? (accelerating)

speed

time

a = v – u

t

(v= final speed, u = initial speed)

v

u

The gradient of this graph gives the acceleration

Page 41: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Getting faster? (accelerating)

speed

time

The area under the graph gives the distance travelled

Page 42: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Example:

speed

time

Page 43: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

A dog falling from a tall building (no air resistance)

speed

time

Page 44: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

A dog falling from a tall building (no air resistance)

speed

time

Page 45: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

A dog falling from a tall building (no air resistance)

speed

time

Area = height of building

Page 46: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Be careful!

distance

time

speed

time

Page 47: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

No movement

distance

time

speed

time

Page 48: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant speed

distance

time

speed

time

Area under graph = distance travelled

gradient = speed

Page 49: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Constant acceleration

distance

time

speed

time

Area under graph = distance travelled

Gradient = acceleration =

a = (v-u)/t

Page 50: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Reading – Pages 26 to 29

Page 51: Do Now!. Todays lesson Interpreting distance-time and speed-time graphs

Now let’s try some questions!

Page 27 questions 2, 5, 6, 7.

Page 29 questions 1 & 2.