SOLUTION: The four- wheeled cart is held at the bottom of a ramp. It is given a gentle push so that it rolls part of the way up the ramp, slows, stops, and then rolls back down the ramp. A m

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The four- wheeled cart is held at the bottom of a ramp. It is given a gentle push so that it rolls part of the way up the ramp, slows, stops, and then rolls back down the ramp. A m      Log On


   



Question 1132884: The four- wheeled cart is held at the bottom of a ramp. It is given a gentle push so that it rolls part of the way up the ramp, slows, stops, and then rolls back down the ramp. A motion detector is placed at the top of the ramp to detect the motion of the cart. The equation representing this situation is y=0.2t^2-0.6t+0.95
a) how far is the cart from the detector at the start?
b) How far is the cart from the detector at 1 second?

Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

            I will assume that "y" represents the distance from the detector.

            (Actually, it should be clearly stated in the post !

              I should not make my hypotheses, when I solve the problem posted by you ! ! )


Solution

(a) To answer question (a), substitute t= 0 into the right side function and calculate.


    What you will get, is clear by an unarmed eye, even without calculations.


    It is  0.95 of a meter.      ANSWER



(b)  To answer this question, substitute t= 1  into the right side function and calculate.

     Do it on your own - it is YOUR JOB, and the tutors on the forum are not obliged to do your work for you or instead of you.


Honestly,  I do not understand,  for what reason visitors come to the forum with questions,  where the answer is  OBVIOUS.