Find the height in feet of a free-falling object at time t=4 using the function $s = - 16 t ^ { 2 } + 63 t + 144$ .

A) 652 feet
B) 148 feet
C) 4 feet
D) 364 feet
E) 140 feet

Question

Find the height in feet of a free-falling object at time t=4 using the function

s = - 16 t ^ { 2 } + 63 t + 144

.

A) 652 feet
B) 148 feet
C) 4 feet
D) 364 feet
E) 140 feet

William Bisson · Accepted Answer

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.

Find the height in feet of a free-falling object at time t=4 using the function $s = - 16 t ^ { 2 } + 63 t + 144$ .

A) 652 feet
B) 148 feet
C) 4 feet
D) 364 feet
E) 140 feet

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Learning Objectives

Related questions

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 feetB) 148 feetC) 4 feetD) 364 feetE) 140 feet

Definitions

Learning Objectives

Learning Objectives

Related questions

Find the height in feet of a free-falling object at time t=4 using the function $s = - 16 t ^ { 2 } + 63 t + 144$ .

A) 652 feet
B) 148 feet
C) 4 feet
D) 364 feet
E) 140 feet