Question

speed/velocity math problems 5 pts each

1. use the graph to find the cyclists total average speed for their entire journey. show all steps
2. a rocket heading up into space travels 5,000 meters in 5 seconds. find its velocity.

for 12 - 14 identify the units as speed units, velocity units, or neither. (1 pt each)

1. velocity 9.5 m/min down
2. speed unit 29 cm/hr
3. neither 55 cm

true or false (1 pt each)
if you know the speed of an object, you also know the direction
the information needed for describing velocity is distance, time
to determine the speed of an object, divide time by distance

Explanation:

Step1: Identify total distance

From the graph, the cyclist's starting - point is at distance = 0 km and the ending - point is at distance = 5 km. So the total distance $d = 5$ km.

Step2: Identify total time

The cyclist starts at time = 0 minutes and ends at time = 30 minutes. So the total time $t=30$ minutes. Since speed formula is $s=\frac{d}{t}$, and we need the speed in km/min.

Step3: Calculate average speed

Substitute $d = 5$ km and $t = 30$ minutes into the speed formula $s=\frac{d}{t}$. We get $s=\frac{5}{30}=\frac{1}{6}\approx0.167$ km/min.

Answer:

The cyclist's total average speed is $\frac{1}{6}$ km/min or approximately $0.167$ km/min.