Question 15 of 18intermediate🔧 ApplyNumerical5 marks
A particle starts from the origin at t = 0 s with a velocity of 10.0 j m/s and moves in the x-y plane with a constant acceleration of (8.0 i + 2.0 j) m s^-2.
(a)
At what time is the x-coordinate of the particle 16 m? What is the y-coordinate of the particle at that time?
Answer
Time = 2 s, y-coordinate = 24 m
(b)
What is the speed of the particle at the time?
Answer
Speed = 21.26 m/s
Explanation
This problem applies the kinematic equations for motion in a plane with constant acceleration. The motion can be treated as superposition of two separate one-dimensional motions along x and y directions. The position and velocity components are calculated independently using the standard equations from the chapter.