A boat has a mass of 6800 kg. its engines generate a drive force of 4100 n, due west, while the wind exerts a force of 830 n, due east, and the water exerts a resistive force of 1200 n due east. what is the magnitude and direction of the boat's acceleration?

Let positive be west and negative be east because they are contrasting in directions.

The forces are 4100, - 830, and - 1200

The sum of the forces is 4100 - 830 - 1200 = 2070 N.

Newton’s law F = ma is used.

2070 = 6800 a

Isolating a will give us 2070 / 6800 = a

a = 0.34 m/s^2