Worksheet: Acceleration of Moving Objects

In this worksheet, we will practice calculating the change in the velocity of an object that undergoes a given acceleration.

Q1:

A uniformly accelerating particle has a velocity of 2.0 m/s at a time 𝑑=2.0 s and a velocity of βˆ’7.6 m/s at a time 𝑑=5.2 s. What is the acceleration of the particle?

Q2:

What is the deceleration of a rocket sled if it comes to rest in 1.10 s from a speed of 1,000.0 km/h?

Q3:

An ambulance driver is rushing a patient to the hospital. While traveling at 67/kmh, she notices the traffic light at the upcoming intersections has turned amber. To reach the intersection before the light turns red, she must increase her displacement in the direction of her current velocity by 38 m in 1.7 s.

What is the minimum acceleration needed to reach the intersection before the light turns red?

What is the speed of the ambulance when it reaches the intersection?

Q4:

A rocket sled, accelerates from rest to a top speed of 264 m/s in 4.38 s and is brought jarringly back to rest in 1.06 s.

Calculate acceleration in the direction of the rocket sled’s motion, giving your answer as a multiple of 𝑔, where 𝑔 is assumed to = 9.8 m/s2.

  • A 4 . 8 𝑔
  • B 1 1 𝑔
  • C 1 3 𝑔
  • D 5 . 3 𝑔
  • E 6 . 2 𝑔

Calculate acceleration in the direction opposite to the rocket sled’s motion, giving your answer as a multiple of 𝑔, where 𝑔 is assumed to = 9.8 m/s2.

  • A 2 2 𝑔
  • B 3 1 𝑔
  • C 3 6 𝑔
  • D 2 5 𝑔
  • E 1 9 𝑔

Q5:

An airplane accelerates in a straight line at 7.2 m/s2 for 28 s. During this time, it travels 7.4 km.

What is the initial velocity of the airplane in the direction of its acceleration?

What is the final velocity of the airplane in the direction of its acceleration?

Q6:

A particle moves in a straight line with an initial velocity of 30.0 m/s. It accelerates for 5.00 s at a constant 30.0 m/s2 in the direction of its initial velocity.

What is the magnitude of the particle’s displacement after the acceleration?

What is the magnitude of the particle’s velocity after the acceleration?

Q7:

A particle is moving with constant acceleration. At the time 𝑑=10s, the particle is moving from left to right with a speed of 5.0 m/s. At the time 𝑑=20s, the particle is moving right to left with a speed of 8.0 m/s. Assume that displacement to the right corresponds to positive values.

What is the acceleration of the particle?

What is the initial speed of the particle?

What is the value of 𝑑 when the speed of the particle is zero?

Q8:

A manned rocket accelerates at a rate of 20.0 m/s2 during its launch. How long does it take the rocket to reach a velocity of 400.0 m/s?

Q9:

Assume an intercontinental ballistic missile goes from rest to a suborbital speed of 6.50 km/s in 60.0 s. What is its average acceleration in multiples of 𝑔9.80/ms?

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