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Motion Along a Straight LineA particle traveling in a
Chapter 13, Problem 18E(choose chapter or problem)
QUESTION:
A particle traveling in a straight line is located at the point (1, -1, 2) and has speed 2 at time t = 0. The particle moves toward the point (3, 0, 3) with constant acceleration 2i + j + k. Find its position vector r(t) at time t.
Questions & Answers
QUESTION:
A particle traveling in a straight line is located at the point (1, -1, 2) and has speed 2 at time t = 0. The particle moves toward the point (3, 0, 3) with constant acceleration 2i + j + k. Find its position vector r(t) at time t.
ANSWER:
Step 1 of 3
The acceleration is in the direction of the difference between points
\((3,0,3)-(1,-1,2)=(2,1,1)\)
And acceleration is \(2 i+j+k\) or (2,1,1)
Thus, the velocity is always in the same direction.