23
QuizMultiple Choice

Adding and Subtracting Matrices — Cumulative exam

Question 23 • GA-Advanced Algebra: Concepts and Connections CR

A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acceleration due to gravity is –16 ft/s2, approximately how many seconds after the launch will the toy rocket reach the ground?h(t) = at2 + vt + h0

Answer
A
0.05 s
B
2.03 s
C
3.80 s
D
3.70 s

Explanation

Use the height formula with a = −16, v = 60, and h₀ = 3: h(t) = −16t² + 60t + 3. The rocket reaches the ground when its height is 0, so solve −16t² + 60t + 3 = 0; the positive solution is about 3.80 seconds. The other solution is negative, so it does not represent a time after launch. The correct choice is 3.80 s.

AI-written and checked against the verified answer.

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