Starter -Match the velocities

30 km day-1

30 km hour-1

30 km min-1

30 km s-1

300 km ms-1

Make a little table

Velocity vectors

Mapping space and time lesson 4

LI…

Know that velocity is a vector Use velocity = displacement/time (v =s/t) Resolve velocity vectors

Scalar or vector

Speed is scalar

speed = distance

time

v = s / t

Measured in metres per second ms-1

Velocity is a vector

velocity = displacement

time

v = s / t

Measured in metres per second ms-1

Velocity and speed of earth around the sun

Speed is large and constant Velocity changes all the

time Average velocity over one

year is zero

sun

dec

jun

mar

jul

sep

y

x

Adding vectors – tail wind

A plane can fly at 120 ms-1 in calm conditions, if it has a tail wind of 20 ms-1, how fast will it fly?

The resultant velocity is the sum of the two. You add them.

To add vectors you put them tip to tail.

120 ms-1

140 ms-1

20 ms-1

Adding vectors – Head wind

A plane can fly at 120 ms-1 in calm conditions, if it has a head wind of 20 ms-1, how fast will it fly?

The resultant velocity is the sum of the two. You add them.

To add vectors you put them tip to tail.

120 ms-1

100 ms-1

20 ms-1

Adding vectors – Cross wind

A plane can fly at 120 ms-1 in calm conditions, if it has a cross wind of 20 ms-1, how fast will it fly?

The resultant velocity is the sum of the two. You add them.

To add vectors you put them tip to tail.

120 ms-1

122 ms-1

20 ms-1

20

120

River crossing

A motor boat can travel at 5 ms-1 in calm conditions.

The boat makes a crossing from the south to north shore. The skipper maintains a northward heading.

The river runs west to east at 2 ms-1. What is the velocity of the boat as it

crosses? If the river is 50m where does he land?

North shore

South Shore

2 ms-1

River crossing 2

A motor boat can travel at 5 ms-1 in calm conditions.

The river runs west to east at 2 ms-1. The boat makes a crossing from the

south to north shore. The skipper navigates along the route shown.

What is the velocity of the boat as it crosses? What direction does he need to steer?

How long does he take?

North shore

South Shore

2 ms-1