Asked by Martha Ramirez on May 29, 2024
Verified
Find the height in feet of a free-falling object at time t=4 using the function s=−16t2+63t+144s = - 16 t ^ { 2 } + 63 t + 144s=−16t2+63t+144 .
A) 652 feet
B) 148 feet
C) 4 feet
D) 364 feet
E) 140 feet
Free-Falling Object
An object that is moving under the influence of gravity only, typically described in physics problems without considering air resistance.
- Implement algebra-based methods for solving actual problems linked to motion and spatial measurement.
Verified Answer
WB
William BissonJun 03, 2024
Final Answer :
E
Explanation :
To find the height of the object at time t=4, we need to plug in t=4 into the given function and solve for s.
\begin{aligned} s &= -16t^2 + 63t + 144 \\ &= -16(4)^2 + 63(4) + 144 \\ &= -16(16) + 252 + 144 \\ &= -256 + 396 \\ &= 140 \end{aligned}
Therefore, the height of the object at time t=4 is 140 feet. The answer is E.
\begin{aligned} s &= -16t^2 + 63t + 144 \\ &= -16(4)^2 + 63(4) + 144 \\ &= -16(16) + 252 + 144 \\ &= -256 + 396 \\ &= 140 \end{aligned}
Therefore, the height of the object at time t=4 is 140 feet. The answer is E.
Learning Objectives
- Implement algebra-based methods for solving actual problems linked to motion and spatial measurement.