Answer:
Distance, S = 108 meters.
Explanation:
Force is given by the multiplication of mass and acceleration.
Mathematically, Force is;
[tex] F = ma[/tex] ............equation 1
Where;
- F represents force measured in Newton.
- m represents the mass of an object measured in kilograms.
- a represents acceleration measured in meters per seconds square.
Given the following data;
Since the boat is starting from rest, initial velocity, u = 0
Mass, m = 600kg
Time, t = 12s
Force, F = 900N
Substituting into equation 1, we have;
[tex] 900 = 600*a[/tex]
[tex]a = \frac{900}{600}[/tex]
Acceleration, a = 1.5 m/s²
T
To solve for distance, we would use the second equation of motion;
[tex] S = ut + \frac {1}{2}at^{2}[/tex]
Substituting the values into the equation, we have;
[tex] S = 0(12) + \frac {1}{2}*1.5* 12^{2}[/tex]
[tex] S = 0 + 0.75* 144[/tex]
Distance, S = 108m
Therefore, the distance covered by the boat is 108 meters.
