Ask Question
10 September, 21:43

Mr. mole left his burrow that lies below the ground and started digging his way deeper into the ground, descending at a rate of 1.8 meters per minute. after 5 minutes, he was 13.5 meters below the ground. let a (t), denote mr. mole's altitude relative to the ground a (measured in meters) as a function of time t (measured in minutes). write a function.

+2
Answers (1)
  1. 10 September, 21:57
    0
    Mr Mole's speed is 1.3 meters / min

    after 5 min he was 13.5meters. that means the speed is not constant, so the expression of the equation of Mole's motion is as follow:

    a (t) = 1/2ct² + Vit + a (0)

    a (0) is assumed as 0

    Vi = initial speed = 1.3 meters/min

    c the acceleration of the movement, c is the unknown value we must find

    after 5 min he was 13.5meters

    13.5=1/2 c x25+1.8x5, it implies c=0.36

    Finally the equation is

    a (t) = 0.18 t² + 1.8 t
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Mr. mole left his burrow that lies below the ground and started digging his way deeper into the ground, descending at a rate of 1.8 meters ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers