Answer:
d = 39.7 km
Explanation:
initial position of the boat is 45 km away at an angle of 15 degree East of North
so we will have


after some time the final position of the boat is found at 30 km at 15 Degree North of East
so we have


now the displacement of the boat is given as



so the magnitude is given as


Answer:
Mass = 27.6 grams
Explanation:
Given the following data;
Density of ice = 0.92g/cm³
Volume = 30cm³
To find mass of ice;
Density can be defined as mass all over the volume of an object.
Simply stated, density is mass per unit volume of an object.
Mathematically, density is given by the equation;

Making mass the subject of formula, we have;
Mass = 27.6 grams
Therefore, the mass of ice is 27.6 grams.
Answer:
40454.4 N
Explanation:
mass, m = 320 kg
density of hot air, d = 1.19 kg/m^3
density of cold air, d' = 1.29 kg/m^3
Volume of the balloon, V = mass / density
V = 320 / (1.29 - 1.19)
V = 3200 m^3
So, buoyant force
F = Volume x density outside x gravity
F = 3200 x 1.29 x 9.8
F = 40454.4 N
thus, the buoyant force is 40454.4 N.
Answer:
A) The acceleration is zero
<em>B) The total distance is 112 m</em>
Explanation:
<u>Velocity vs Time Graph</u>
It shows the behavior of the velocity as time increases. If the velocity increases, then the acceleration is positive, if the velocity decreases, the acceleration is negative, and if the velocity is constant, then the acceleration is zero.
The graph shows a horizontal line between points A and B. It means the velocity didn't change in that interval. Thus the acceleration in that zone is zero.
A. To calculate the acceleration, we use the formula:

Let's pick the extremes of the region AB: (0,8) and (12,8). The acceleration is:

This confirms the previous conclusion.
B. The distance covered by the body can be calculated as the area behind the graph. Since the velocity behaves differently after t=12 s, we'll split the total area into a rectangle and a triangle.
Area of rectangle= base*height=12 s * 8 m/s = 96 m
Area of triangle= base*height/2 = 4 s * 8 m/s /2= 16 m
The total distance is: 96 m + 16 m = 112 m