ok i have no idea how to do this, can you guys please help me out with this for physics?
"For no apparent reason, a poodle is running counter-clockwise at a constant speed of 3.90 m/s in a circle with radius 2.3 m. Let v_1 be the velocity vector at time t_1, and let v_2 be the velocity vector at time t_2. Recall that average acceleration = delta_v/delta_t."
i really need help on finding the magnitude and direction of the average acceleration at a given delta_t, for example, delta_t=0.5
i've used the formulas v_x=-w sin wt and v_y = w cos wt, but i'm not sure if that's right. anyways, thanks in advance to anyone who helps
The magnitude of a two-dimensional vector is given by
in which is the x-component of the vector and is the y-component. This is an application of Pythagoras theorem.
As for the direction, that depends on which coordinate system you want to use to express the direction. A possibility is to express the direction as angle . Let's measure as the angle between x-direction and the vector, being positive in counter-clockwise direction (this is a common convention). The angle is then given by: