Find the equation x = at² + bt that fits the following data. A) x = 2t² + 0 B) x = 6t² - 3t C) x = 2t² + 2t D) x = t² + t

Question

Quizplus · Accepted Answer

We can start by finding the values of a and b using the given data. Let's plug in the values of t and x into the given equation: x = at² + bt For t = 1: 3 = a + b For t = 3: 21 = 9a + 3b For t = 5: 55 = 25a + 5b Solving these equations simultaneously, we get: a = 6 b = -3 Therefore, the equation that fits the given data is: x = 6t² - 3t Hence, the answer is choice B.

Find the Equation X = At2 + Bt That Fits

Find the Equation X = At² + Bt That Fits