Question

a group of students is timed while sprinting 100 meters. Each students speed can be found by dividing 100 m by their time. Is each statement true or false? Explain your reasoning. a. speed is a function of time. b. time is a function of distance c. Speed is a function of numbers of students racing. d. Time is a function of speed

Answer 1

The true statements are (a) and (d)

Explanation:

`\text{Speed = }\frac{100}{\text{Time}}`

(a). Speed is a function of time : As seen from equation (1) Speed of the students varies according to the value of time. So, This a true statement.

(b). Time is a function of distance : Distance is not varying in the equation (1), it is fixed to be 100. So, time is not a function of distance because here the distance is made constant. So, This is false statement.

(c). Speed is a function of number of students racing : Speed is not depending on the number of students racing so sped is independent of the number of the students racing. Therefore, Speed is not a function of number of students racing. This is False statement.

(d). Time is a function of speed : As seen from equation (1) Time of the students varies according to the value of their speed. So, This a true statement.

Hence, the true statements are (a) and (d)