Whovian said:How are you using a negative vector?
Jimbo57 said:Homework Statement
A car's velocity changes from 13.9 m/s east to 12.8 m/s northeast. What is the change in it's velocity?
It's a 4 marker.
Homework Equations
The Attempt at a Solution
Honestly, I don't really know how to start this. I know it's a vector difference and I've drawn the diagram which isn't too tough. The fact that I'm using a negative vector is throwing me off.
Could anyone nudge me in the right direction?
HallsofIvy said:You subtract. Subtract vectors. One way to do that is to write each vector in north and east "components"- ie < 13.9, 0> for the first vector and <a, b> for the second vector where [itex]\sqrt{a^2+ b^2}= 12.8}[itex] and, because "northeast" has equal parts "north" and "east", a= b.
Alternatively, you could do this "trigonometrically". Represent each velocity vector as a line, "13.9 m/s east" of length 13.9 to the right, and "12.8 m/s northeast" of length 12.8 making an angle of 45 degrees with the first line. The "difference" is the third side of that triangle.
Jimbo57 said:Ahh so "Northeast" represents an exact angle of 45 degrees?
Quote by HallsofIvy
You subtract. Subtract vectors. One way to do that is to write each vector in north and east "components"- ie < 13.9, 0> for the first vector and <a, b> for the second vector where [itex]\sqrt{a^2+ b^2}= 12.8}[itex] and, because "northeast" has equal parts "north" and "east", a= b.
Alternatively, you could do this "trigonometrically". Represent each velocity vector as a line, "13.9 m/s east" of length 13.9 to the right, and "12.8 m/s northeast" of length 12.8 making an angle of 45 degrees with the first line. The "difference" is the third side of that triangle.
Change in velocity refers to the rate at which an object's speed and/or direction is changing. It is a vector quantity, meaning it has both magnitude and direction.
Change in velocity is calculated by taking the difference between the final velocity and initial velocity of an object. This is represented by the equation Δv = vf - vi, where Δv is the change in velocity, vf is the final velocity, and vi is the initial velocity.
Average change in velocity is the overall change in velocity over a given period of time, while instantaneous change in velocity is the change in velocity at a specific moment or instant in time.
The vector difference in change in velocity is represented by the change in both magnitude and direction. This can be shown graphically using vector diagrams or mathematically using vector components.
Understanding change in velocity is crucial in many scientific fields, including physics, engineering, and space exploration. It is used to calculate acceleration, determine the trajectory of objects, and predict the motion of planets and other celestial bodies.