Question

investigation
point the way
have you ever been asked for directions and pointed to where the person needed to go? you were indicating direction. similar to pointing, motion can be represented with arrows. an arrow can point left, right, up, or down indicating direction. an arrow’s length can vary to indicate speed. a longer arrow would represent a faster speed.

1. an airplane flew from san francisco to washington, d.c. approximately halfway through the flight, the plane had traveled 2,000 km in 2.5 hours. what was the speed during this period?

1. another airplane is flying in the opposite direction. it covers the same distance in exactly 2 hours. what was its speed and direction during this period?

1. draw arrows representing the speed and direction of the two planes. label each arrow with the speed and direction of flight. use a left - facing arrow for west and a right - facing arrow for east.

first plane
second plane

Explanation:

Step1: Apply speed formula (plane1)

$\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{2000}{2.5}$

Step2: Calculate plane1 speed

$\frac{2000}{2.5} = 800$ km/h

Step3: Apply speed formula (plane2)

$\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{2000}{2}$

Step4: Calculate plane2 speed

$\frac{2000}{2} = 1000$ km/h

Step5: Define arrow rules for direction

Right arrow = east, left arrow = west; longer arrow = faster speed

Answer:

1. 800 km/h
2. 1000 km/h, direction: west (opposite of the first plane's east direction)

3.
First plane: → (label: 800 km/h, east)
Second plane: ← (label: 1000 km/h, west)
(Note: The arrow for the second plane should be longer than the first plane's arrow to represent higher speed)