r(t) = t³ i - 2t j; 1 $\le$ t $\le$ 5. Find the displacement. A) 124i - 8j B) 125i - 8j C) 124i + 10j D) 124i + 8j E) -124i - 8j

Question

Quizplus · Accepted Answer

The displacement is the change in position, which is the final position minus the initial position. The initial position is at t = 1, and the final position is at t = 5. So, the displacement is:r(5) - r(1) = (5^3)i - 2(5)j - (1^3)i + 2(1)j = 124i - 8j

R(t) = T3 I - 2t J; 1 ≤\le≤ T ≤\le≤ 5 Find the Displacement

R(t) = T³ I - 2t J; 1 $\le$ T $\le$ 5 Find the Displacement