Motion in Two Dimensions flashcards

10 practice cards drawn from the Motion in Two Dimensions lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.

Read the Motion in Two Dimensions lessons in full →

r₀ = (2, 1) and v = (3, 3). Where is the object at t = 3?

(11, 10)

from “Position and Velocity as Vectors”

An object has velocity (6, 8). How far does it travel each second?

10

from “Position and Velocity as Vectors”

A is at 3 + 3t and B at 21 − 1t on the same axis. When are they level?

4.5

from “Meeting Points and Travel Times”

A is at 1 + 3t and B at 16 − 1t on the same axis. When are they level?

3.75

from “Meeting Points and Travel Times”

The smallest value of |AB|² is 9. What is the closest approach?

3

from “The Closest Approach of Two Objects”

|AB|² = 2t² − 16t + 31. At what time are they closest?

4

from “The Closest Approach of Two Objects”

r(t) = (5t, 9t − 3t²). What is v at t = 2?

(5, -3)

from “Velocity That Varies with Time”

r(t) = (cos t, sin t). What is the acceleration?

(−cos t, −sin t)

from “Velocity That Varies with Time”

Object B follows A’s path but sets off k seconds later. What is B’s position rule?

r(t − k)

from “Motion That Starts Later”

B copies A’s path from 1 second later. When is B where A was at t = 2?

3

from “Motion That Starts Later”

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