Welcome to the PF.FreshmanInPhysics said:Homework Statement
d=Vi t + 1/2at^2
What do each of these mean? Show that this is true
d=vt-Solve
v=Vf+Vi/2 - Substitute Vf with Vf= Vi+at
Homework Equations
v= average speed
Vi=initial speed
Vf= final speed
The Attempt at a Solution
Vit: This represents the initial velocity at said time elapsed
1/2at^2: This represents half the acceleration at said time elapsed squared
d/t=v
v=2Vi+at/2
Velocity is the rate of change of an object's position over time, and it includes both speed and direction. Acceleration, on the other hand, is the rate of change of an object's velocity over time. In simpler terms, velocity tells us how fast an object is moving and in what direction, while acceleration tells us how quickly the velocity is changing.
Velocity can be calculated by dividing the change in an object's position by the change in time. Mathematically, this can be represented as v = Δx/Δt. Acceleration, on the other hand, can be calculated by dividing the change in velocity by the change in time. In formula form, this would be written as a = Δv/Δt.
The units for velocity are typically meters per second (m/s) or kilometers per hour (km/h), depending on the scale of measurement. Acceleration is usually measured in meters per second squared (m/s^2) or kilometers per hour squared (km/h^2).
An increase in velocity will result in an object moving faster in the same direction, while a decrease in velocity will cause the object to slow down. An increase in acceleration will cause an object to change its velocity at a faster rate, resulting in a greater change in speed or direction.
Yes, both velocity and acceleration can be negative. A negative velocity means an object is moving in the opposite direction of the reference point, while a negative acceleration means the object is slowing down. These values can also be positive, depending on the direction of motion.