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The vertical position of an object can be approximated at any given time by the function: p(t) = rt – 5t 2 + b, where p(t) is the vertical position in meters, t is the time in seconds, and r and b are constants. After 2 seconds, the position of an object is 41 meters, and after 5 seconds the position is 26 meters. What is the position of the object, in meters, after 4 seconds?
  • a)
    24
  • b)
    26
  • c)
    39
  • d)
    41
  • e)
    45
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The vertical position of an object can be approximated at any given ti...
The question gives a function with two unknown constants and two data points. In order to solve for the position of the object after 4 seconds, we need to first solve for the contant s r and b . We can do this by creating two equations from the two data points given:


We can now solve these equations for r and b using substitution:

Substituting back in, we can find b:

So, we can rewrite the original function and plug in t = 4 to find our answer:
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The vertical position of an object can be approximated at any given time by the function:p(t) = rt – 5t 2 + b, where p(t) is the vertical position in meters, t is the time in seconds, and r and b areconstants. After 2 seconds, the position of an object is 41 meters, and after 5 seconds the position is 26meters. What is the position of the object, in meters, after 4 seconds?a)24b)26c)39d)41e)45Correct answer is option 'D'. Can you explain this answer?
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The vertical position of an object can be approximated at any given time by the function:p(t) = rt – 5t 2 + b, where p(t) is the vertical position in meters, t is the time in seconds, and r and b areconstants. After 2 seconds, the position of an object is 41 meters, and after 5 seconds the position is 26meters. What is the position of the object, in meters, after 4 seconds?a)24b)26c)39d)41e)45Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The vertical position of an object can be approximated at any given time by the function:p(t) = rt – 5t 2 + b, where p(t) is the vertical position in meters, t is the time in seconds, and r and b areconstants. After 2 seconds, the position of an object is 41 meters, and after 5 seconds the position is 26meters. What is the position of the object, in meters, after 4 seconds?a)24b)26c)39d)41e)45Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The vertical position of an object can be approximated at any given time by the function:p(t) = rt – 5t 2 + b, where p(t) is the vertical position in meters, t is the time in seconds, and r and b areconstants. After 2 seconds, the position of an object is 41 meters, and after 5 seconds the position is 26meters. What is the position of the object, in meters, after 4 seconds?a)24b)26c)39d)41e)45Correct answer is option 'D'. Can you explain this answer?.
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