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Feb 20, 2022 · Explain the relationships between instantaneous velocity, average velocity, instantaneous speed, average speed, displacement, and time. Calculate velocity and speed given initial position, initial time, final position, and final time.
In the equation V = d/t, V is the velocity, d is the distance, and t is the time. Determine the object’s acceleration by dividing the object’s mass by force and multiply the answer by the time it took for it to accelerate.
- LT −1
- m/s
- mph, ft/s
In this section we will look at time, speed, and velocity to expand our understanding of motion. A description of how fast or slow an object moves is its speed. Speed is the rate at which an object changes its location. Like distance, speed is a scalar because it has a magnitude but not a direction.
v a v g = Δ x Δ t = x f − x 0 t f − t 0. In this formula, v a v g is the average velocity; Δ x is the change in position, or displacement; and x f and x 0 are the final and beginning positions at times t f and t 0 , respectively. If the starting time t 0 is taken to be zero, then the average velocity is written as below: v a v g = Δ x t.
Simplifying the integral results in the equation v(t) = -9.8t + C_1, where C_1 is the initial velocity (in physics, this the initial velocity is v_0). This means that for every second, the velocity decreases by -9.8 m/s. To find the position equation, simply repeat this step with velocity.
Dec 4, 2022 · Main Idea. Velocity is a vector quantity that describes both how fast an object is moving and its direction of motion. It is represented by the symbol v → or v, as opposed to v, which denotes speed. Velocity is defined as the rate of change of position with respect to time. In calculus terms, it is the time derivative of the position vector.
Speed and velocity are related in much the same way that distance and displacement are related. Speed is a scalar and velocity is a vector. Speed gets the symbol v (italic) and velocity gets the symbol v (boldface).