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Worksheet: Acceleration Vectors

Q1:

A spaceship is traveling at a constant velocity v i = 2 5 0 / m s when its rockets fire, giving it an acceleration a i j = ( 3 . 0 0 + 4 . 0 0 ) / m s 2 . What is the spaceship’s velocity 5.00 s after the rockets fire?

  • A ( 2 7 0 + 2 3 . 0 ) i j m/s
  • B ( 2 6 2 + 3 0 . 0 ) i j m/s
  • C ( 2 7 3 + 2 4 . 0 ) i j m/s
  • D ( 2 6 5 + 2 0 . 0 ) i j m/s
  • E ( 2 6 7 + 2 7 . 0 ) i j m/s

Q2:

A particle accelerates uniformly. At the time 𝑑 = 0 . 0 s the particle has a velocity v i j = ( 1 4 + 2 2 ) m/s. At 𝑑 = 3 . 8 s, the particle has a velocity v i j = ( 0 . 0 + 1 1 ) m/s. What is the acceleration of the particle?

  • A ( 3 . 7 + 2 . 9 ) i j m/s2
  • B ( βˆ’ 1 . 7 βˆ’ 0 . 9 ) i j m/s2
  • C ( 1 . 7 βˆ’ 0 . 9 ) i j m/s2
  • D ( βˆ’ 3 . 7 βˆ’ 2 . 9 ) i j m/s2
  • E ( 2 . 9 βˆ’ 3 . 7 ) i j m/s2

Q3:

The position of a particle is given by r i j k ( 𝑑 ) = ( 4 . 0 𝑑 βˆ’ 3 . 0 + 2 . 0 𝑑 ) 2 3 m .

What is the velocity of the particle at 0.0 s?

What is the velocity of the particle at 1.0 s?

  • A ( 8 . 0 + 6 . 0 ) i k m/s
  • B ( 8 . 0 βˆ’ 8 . 0 ) i k m/s
  • C ( 6 . 0 + 6 . 0 ) i k m/s
  • D ( 1 6 . 0 + 8 . 0 ) i k m/s
  • E ( βˆ’ 1 6 . 0 + 8 . 0 ) i k m/s

What is the average velocity of the particle between 0.0 s and 1.0 s?

  • A ( 2 . 0 + 4 . 0 ) i k m/s
  • B ( 4 . 0 + 3 . 0 ) i k m/s
  • C ( 4 . 0 + 2 . 0 ) i k m/s
  • D ( 4 . 0 + 3 . 0 ) i k m/s
  • E ( 3 . 5 + 3 . 5 ) i k m/s

Q4:

The displacement of a particle is given by r i j k = ( 2 . 3 𝑑 + 4 . 4 βˆ’ 2 . 9 𝑑 ) 2 m.

What is the velocity of the particle at 𝑑 = 0 ?

  • A βˆ’ 2 . 9 i m/s
  • B ( 4 . 6 βˆ’ 2 . 9 ) i k m/s
  • C 4 . 6 i m/s
  • D βˆ’ 2 . 9 k m/s
  • E ( 4 . 6 + 2 . 9 ) i j m/s

What is the acceleration of the particle at 𝑑 = 0 ?

  • A 4 . 6 i m/s2
  • B ( 0 + 0 + 0 ) i j k m/s2
  • C ( 4 . 6 βˆ’ 2 . 9 ) i k m/s2
  • D 2 . 3 i m/s2
  • E 4 . 4 j m/s2

Q5:

A particle has the position function r i j k ( 𝑑 ) = ( ( 1 0 𝑑 βˆ’ 𝑑 ) + 5 𝑑 + 5 𝑑 ) 2 m. What is the acceleration vector of the particle?

  • A βˆ’ 4 i m/s2
  • B βˆ’ 1 0 i m/s2
  • C βˆ’ 8 i m/s2
  • D βˆ’ 2 i m/s2
  • E βˆ’ i m/s2

Q6:

A particle has a velocity given by .

What is the particle’s acceleration vector at ?

  • A m/s2
  • B m/s2
  • C m/s2
  • D m/s2
  • E m/s2

What is the magnitude of the particle’s acceleration at ?