From the point (3000,4000,0) the next destination is at the point (-2000,16000,0) a force of 2 N is applied in the direction of π radians. An appropriate force is applied in the direction of π/2 radians so that the resultant vector is in the direction of the target point. These forces are maintained until a velocity of 5 mps is achieved in the straight-line direction to wards the target point.
a. How much force is needed in the direction of π/2 radians?
b. how long will it take to reach 5mps?
c. How much force would be required to stop the vehicle in 10 seconds?
d. How many seconds is the total trip?