Math  /  Data & Statistics

QuestionB 100 149 8 Height (feet) 120 100 40 20 After 4.5 seconds, what was the object's height? O A. 80 feet ○ B. 90 feet ○ C. 110 feet O D. 120 feet Height of Object arter Launch 7 2 Time (seconds)

Studdy Solution

STEP 1

What is this asking? At 4.5 seconds after launch, how high up was this thing? Watch out! Don't get tricked by the peak height – we're looking at a later point in time!

STEP 2

1. Find the height at 1.5 seconds.
2. Use symmetry to find the height at 4.5 seconds.

STEP 3

Let's look at our graph!
At 1.51.5 seconds, the object looks to be at about 100100 feet.

STEP 4

Parabolas are symmetrical!
Notice how the highest point is at 33 seconds.
This means the height at 1.51.5 seconds (which is 31.5=1.53 - 1.5 = 1.5 seconds *before* the peak) will be the same as the height at 4.54.5 seconds (which is 4.53=1.54.5 - 3 = 1.5 seconds *after* the peak).

STEP 5

Since the height at 1.51.5 seconds is 100100 feet, the height at 4.54.5 seconds is also 100\textbf{100} feet due to the symmetry.
Boom!

STEP 6

The object's height after 4.54.5 seconds is 100\textbf{100} feet.
So the answer is B!

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