two-cars-mm-and-nn-start-from-the-same-point-with-velocities-vmt2sint-vmt-2sin-t

Question

Two cars, MM and NN, start from the same point with velocities vM(t)=2sin⁡t v_M(t) = 2\sin t  and vN(t)=2cos⁡t v_N(t) = 2\cos t , respectively, both with initial positions of zero. At what time in [0,2π] [0, 2\pi]  do they first meet, and what is their position at that time?

Accepted Answer

Time: π2\frac{\pi}{2} unitsPosition: 22 units

Answer

Time: π\pi unitsPosition: 44 units

Answer

Time: π3\frac{\pi}{3} unitsPosition: 22 units

Answer

Time: π2\frac{\pi}{2} unitsPosition: 33 units

Two cars, MM and NN, start from the same point with velocities vM(t)=2sint v_M(t) = 2\(\sin\) t and vN(t)=2cost v_N(t) = 2\(\cos\) t , respectively, both with initial positions of zero. At what time in [0,2π] [0, 2\(\pi\)] do they first meet, and what is their position at that time?