kinematics

Question 1

What is the formula for displacement (Δ𝑟⃗)?

Answer 1

Δ𝑟⃗ = 𝑟⃗2 − 𝑟⃗1

Question 2

How do you calculate average velocity?

Answer 2

𝑣⃗ = Δ𝑟⃗ / Δ𝑡

Question 3

How do you calculate instantaneous velocity?

Answer 3

𝑣⃗ = d𝑟⃗ / dt

Question 4

What is the formula for average acceleration?

Answer 4

𝑎⃗ = Δ𝑣⃗ / Δ𝑡

Question 5

What is the formula for instantaneous acceleration?

Answer 5

𝑎⃗ = d𝑣⃗ / dt

Question 6

What is the position formula for rectilinear motion with constant velocity?

Answer 6

𝑠(𝑡) = 𝑠(0) + 𝑣 ⋅ 𝑡

Question 7

What is the position formula for rectilinear motion with constant acceleration?

Answer 7

𝑠(𝑡) = 𝑠(0) + 𝑣(0) + 1/2 (a + 2)

Question 8

Law of velocity

Answer 8

𝑣(𝑡) = 𝑣(0) + 𝑎𝑡

Question 9

What is Galileo’s equation relating velocity, acceleration, and displacement?

Answer 9

𝑣² = 𝑣0² + 2𝑎𝑠

Question 10

What is the formula for average angular velocity (𝜔)?

Answer 10

𝜔 = Δ𝜃 / Δ𝑡

Question 11

What is the formula for instantaneous angular velocity (𝜔)?

Answer 11

𝜔 = d𝜃 / dt

Question 12

What is the formula for angular acceleration (𝜖)?

Answer 12

𝜖 = d𝜔 / dt

Question 13

How are linear velocity (𝑣) and angular velocity (𝜔) related?

Answer 13

𝑣 = 𝜔𝑅

Question 14

How are tangential acceleration (𝑎𝑡) and angular acceleration (𝜖) related?

Answer 14

𝑎𝑡 = 𝜖𝑅

Question 15

What is the formula for centripetal acceleration (𝑎𝑐)?

Answer 15

𝑎𝑐 = 𝜔²𝑅

Question 16

What is the angular position formula for motion with constant angular velocity?

Answer 16

𝜃(𝑡) = 𝜃(0) + 𝜔𝑡

Question 17

What is the angular position formula for motion with constant angular acceleration?

Answer 17

𝜃(𝑡) = 𝜃(0) + 𝜔(0)𝑡 + 1/2𝜖𝑡²