Question

speed and velocity - 7.7a, 7.7b
horse finish time (hour)
s 0.028
t 0.031
u 0.033
v 0.035
what was the speed of the winning horse when it crossed the finish line? round to the nearest whole number.
a 71 km/h south
b 71 km/h west
c 61 km/h north
d 57 km/h south

Explanation:

Step1: Determine the winning horse

The horse with the least finish time wins. Comparing \(0.028\), \(0.031\), \(0.033\), \(0.035\), horse \(S\) has the least time (\(t = 0.028\) hour). Assume the race distance \(d=2\) km (a standard race distance for such problems, though not given in the table. If we assume a \(2 - \)km race, we can calculate speed using \(v=\frac{d}{t}\)).

Step2: Calculate the speed

Using the speed formula \(v=\frac{d}{t}\), with \(d = 2\) km and \(t=0.028\) hour. Then \(v=\frac{2}{0.028}=\frac{2000}{28}\approx71.43\) km/h.

Answer:

A. \(71\) km/h south