Question

1. A model car travels horizontally after being released. The car travels a distance d metres in a time of t seconds. d is directly proportional to t. The car travels 20 metres in a time of 2 seconds. a) Calculate the distance the car travels in 3 seconds.​

Answer 1

If d is directly proportional to t, then we can say that d = k * t, where k is a constant of proportionality. We can find the value of k by substituting the given values for d and t into this equation:

d = k * t

20 = k * 2

Solving for k, we get k = 10.

Now that we know the value of k, we can calculate the distance the car travels in 3 seconds by substituting 3 for t in the equation d = k * t:

d = 10 * 3

d = 30

Therefore, the car travels 30 meters in a time of 3 seconds.