Given the x and y components of the velocity of an object at some point in time,

Question

Given the x and y components of the velocity of an object at some point in time, you can figure out how fast the object is moving. To do this you need to reconstruct the magnitude c the vector. For example, the following diagram shows the y component of the velocity as 15 m/s and the x component of the velocity as 5 m/s The speed in this case would be 15.8 m/s Given the following four sets of components. Rank the speeds. The fastest speed is given a rank of 1. If there are any ties, remember that you need to skip rankings. v = 15 mis V 15 m/s

Explanation / Answer

a) v = sqrt(vx^2 + vy^2) = sqrt(15^2 + 10^2) = 18.03 m/s

b) v = sqrt(vx^2 + vy^2) = sqrt(0^2 + 15^2) = 15 m/s

c) v = sqrt(vx^2 + vy^2) = sqrt(15^2 + 15^2) = 21.2 m/s

d) v = sqrt(vx^2 + vy^2) = sqrt(10^2 + 15^2) = 18.03 m/s

so, Ranking c > a = d > b

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