Question

Whose stone hit the water first? (options lins stone, clares stone) When did that happen? (options 1/2 second after stone was tossed, 1 second after stone was tossed, 1 1/4 seconds after stone was tossed, 1 1/2 seconds after stone was tossed)

Clare’s stone reached its maximum height 1/4 second after it was tossed. Did Clare’s stone reach a higher maximum than Lin’s stone? (options yes clare's stone reached a higher maximum height, no lins stone reached a higher maximum height, no both stones reached the same maximum height)
What was the maximum height of Clare's stone? (options 1 foot, 5 feet, 8 feet, 9 feet, 16 feet) feet.

Answer 1

1) Clare's stone hit first.

2) 1 seconds.

3) Same maximum height for both.

4) 9 feet

Part A:

h = (-16t -8)(t - 1)

When the stone hits the water, the height will be 0

⇒ (-16t - 8)(t - 1) = 0

set to zero

⇒ -16t - 8 = 0, t - 1 = 0

simplify

⇒ t = -1/2, t = 1

So, time was 1 seconds for Clare and 1.25 seconds or Lin. Clare's hit first.

Part B:

For Lin's stone: maximum height: 9 feet.

For Clare stone: (-16(0.25) - 8)((0.25) - 1) = 9 feet

No both stone reached the maximum height of 9 feet.