Right did it thanks, I kinda am stuck on an M1 question if you can help me. Basically 'The unit vectors I and J are directed North and east. A boat has initial velocity 4i + 6j ms and an initial position of 80I + 20j, it experiences an acceleration of -0.02i - 0.01j ms for 4 minutes. After 4 minutes the boat stops accelerating and continues with constant velocity for a further minute before hitting the bank and stopping, find the position of the point where the boat hits the bank.
Its quite long I know, but I worked out the position vector of the boat at Time T seconds, but im kinda struggling on how to work out the position vector for both times its really confusing.
Right did it thanks, I kinda am stuck on an M1 question if you can help me. Basically 'The unit vectors I and J are directed North and east. A boat has initial velocity 4i + 6j ms and an initial position of 80I + 20j, it experiences an acceleration of -0.02i - 0.01j ms for 4 minutes. After 4 minutes the boat stops accelerating and continues with constant velocity for a further minute before hitting the bank and stopping, find the position of the point where the boat hits the bank.
Its quite long I know, but I worked out the position vector of the boat at Time T seconds, but im kinda struggling on how to work out the position vector for both times its really confusing.
Right did it thanks, I kinda am stuck on an M1 question if you can help me. Basically 'The unit vectors I and J are directed North and east. A boat has initial velocity 4i + 6j ms and an initial position of 80I + 20j, it experiences an acceleration of -0.02i - 0.01j ms for 4 minutes. After 4 minutes the boat stops accelerating and continues with constant velocity for a further minute before hitting the bank and stopping, find the position of the point where the boat hits the bank.
Its quite long I know, but I worked out the position vector of the boat at Time T seconds, but im kinda struggling on how to work out the position vector for both times its really confusing.
Outline:
You have acceleration - you integrate that to get velocity (remember the +c and using the point t=0, v = 4i +6j to find the +c)
You then have (initial position) + (velocity) - plug t = 4 * 60 = 240 seconds to get the position after 4 minutes.
Now set up the new position as (position after 4 minutes) + t(constant velocity) and then plug t = 1 *60 = 60 seconds