Note that in (a) they ask for the velocity, not the speed. So you'll want to keep all the vector components separated and give your result as a vector.Yovanna said:Homework Statement
A boat leaves the dock at t=0 s and heads out into the lake with an acceleration of 2m/s^2i.A strong wind pushing the boat, giving it additional velocityof 2m/si+ 1m/sj.
(a) What is the velocity of the boat at t=10s?
(b) What is the position of the boat at t=10?
Homework Equations
v=vo+at
x=x0+vx0t+0.5at^2
y=y0+vy0t+0.5at^2
The Attempt at a Solution
v0=√(2^2+1^2)= 2.2m/s
v=2.2m/s+20m/s= 22.2m/s
x=0+20m+100m=120m
y=0+10m+100m=110m
ohh right! Thank you so much!gneill said:Hi Yovanna,Note that in (a) they ask for the velocity, not the speed. So you'll want to keep all the vector components separated and give your result as a vector.
In (b), when you calculated the y-position component, where did the 100 m term come from?
The velocity of a boat is the rate at which it is changing its position with respect to time. In other words, it is the speed and direction at which the boat is moving. The position of the boat is its location at any given time. Therefore, the velocity and position of a boat are closely related as the position of the boat will change depending on its velocity.
The velocity of a boat can be measured using a variety of methods, such as GPS tracking, radar, or using a speedometer. These tools measure the speed and direction of the boat in relation to a fixed point or reference point.
The velocity of a boat can be affected by several factors, including the force and direction of the wind, the size and shape of the boat, the weight and distribution of the load on the boat, and the current or waves in the water.
Yes, a boat can have a constant velocity if the forces acting on it are balanced and there is no change in its speed or direction. This can be achieved by maintaining a steady course and using a consistent amount of power or force to propel the boat forward.
The position of a boat can be determined using its velocity by multiplying the boat's velocity by the amount of time it has been in motion. This will give the displacement or change in position of the boat. By knowing the initial position of the boat, its velocity, and the time it has been in motion, we can calculate its current position.