Question

jill releases a toy car at the top of the derby - ramp. how far will the car have traveled after 5 seconds? a 60 cm b 90 cm c 100 cm d 120 cm

Explanation:

Step1: Determine the relationship from the graph

The graph shows a linear relationship between time and distance. We can find the speed (rate of change) by using two - points on the line. Let's take two points \((1,20)\) and \((2,40)\). The speed \(v=\frac{\Delta d}{\Delta t}\), where \(\Delta d = 40 - 20=20\) cm and \(\Delta t=2 - 1 = 1\) s, so \(v = 20\) cm/s.

Step2: Calculate the distance at \(t = 5\) s

We know that distance \(d=v\times t\). Since \(v = 20\) cm/s and \(t = 5\) s, then \(d=20\times5=100\) cm.

Answer:

C. 100 cm