Question

11.
a horse trainer records the distance a horse travels during three different trials.
horse’s travelling times and distances

trial	time (minutes)	distance (kilometers)
2	30	9.0
3	45	13.5

1. what is the horse’s average speed in kilometers per minute?

my answer is ____________ (please use the correct units)
13
a block is pulled 0.90 m to the right in 2.5 s.
image of a block being pulled with a ruler showing distance
what is the block’s average speed to the nearest hundredth of a m/s?
my answer is ____________ (please use the correct units)
14
a bus travels 20 km in 30 minutes. what is the average speed of the bus?
f 20 km/h
g 30 km/h
h 40 km/h
j 50 km/h
my answer is ____________ (please use the correct units)

Explanation:

Question 12

Step1: Recall speed formula

Speed \( v = \frac{\text{total distance}}{\text{total time}} \)

Step2: Calculate total distance

Total distance \( = 4.5 + 9.0 + 13.5 = 27 \) km

Step3: Calculate total time

Total time \( = 15 + 30 + 45 = 90 \) minutes

Step4: Compute average speed

\( v = \frac{27}{90} = 0.3 \) km/min

Step1: Recall speed formula

Speed \( v = \frac{\text{distance}}{\text{time}} \)

Step2: Substitute values

Distance \( d = 0.90 \) m, Time \( t = 2.5 \) s

Step3: Compute speed

\( v = \frac{0.90}{2.5} = 0.36 \) m/s

Step1: Recall speed formula

Speed \( v = \frac{\text{distance}}{\text{time}} \), convert time to hours: \( 30 \) minutes \( = 0.5 \) hours

Step2: Substitute values

Distance \( d = 20 \) km, Time \( t = 0.5 \) h

Step3: Compute speed

\( v = \frac{20}{0.5} = 40 \) km/h

Answer:

\( 0.3 \) kilometers per minute

Question 13