Question

how long can it swing?

	height dropped from (centimeters)	time swung (seconds)
test 1	?	25 sec
test 2	20 cm	49 sec
test 3	30 cm	72 sec

options: 50 cm, 40 cm, 10 cm, 60 cm

Explanation:

Step1: Analyze the relationship

We observe the trend between height dropped and time swung. As height increases, time swung also increases. Let's check the differences: From Test 2 (20 cm, 49 sec) to Test 3 (30 cm, 72 sec), height increases by 10 cm, time increases by \(72 - 49 = 23\) sec. From Test 1 to Test 2, time decreases by \(49 - 25 = 24\) sec (close to 23), so height should decrease by 10 cm from Test 2.

Step2: Calculate the height for Test 1

Test 2 height is 20 cm. Decreasing by 10 cm: \(20 - 10 = 10\) cm.

Answer:

10 cm