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Understanding Motion: Equations of Physics for Accelerating Vehicles

This resource provides a series of physics problems related to the equations of motion. It covers various scenarios, including cars, motorbikes, and aircraft, detailing their velocities, acceleration, and distances over specific time intervals. Designed for Leaving Certificate Physics students, it includes questions on the acceleration of vehicles, free fall from rest, and take-off speeds. Each example illustrates how to apply the equations of motion to solve real-world physics problems effectively, emphasizing practical understanding of kinematics.

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Understanding Motion: Equations of Physics for Accelerating Vehicles

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  1. The Equations of Motion 1 The Professional Development Service for Teachers is funded by the Department of Education and Skills under the National Development Plan

  2. Q. 1 A car is moving at a velocity of 25 m s–1. It accelerates at a rate of 6 m s–2. Find its velocity after 3 seconds. PDST Resources for Leaving Certificate Physics2

  3. Ans. 1 A car is moving at a velocity of 25 m s–1. It accelerates at a rate of 6 m s–2. Find its velocity after 3 seconds.ANSWER Use the no s equation: PDST Resources for Leaving Certificate Physics3

  4. Q. 2 An object is dropped from rest. Calculate its velocity after 2.5 seconds if it is dropped:(a) on earth, where the acceleration due to gravity is 9.8 m s–2 (b) on mars, where the acceleration due to gravity is 3.8 m s–2? PDST Resources for Leaving Certificate Physics4

  5. Ans. 2 Note: when an object is dropped from rest, its initial velocity is 0. (a) (b) PDST Resources for Leaving Certificate Physics5

  6. Q. 3 A motorbike is travelling with a velocity of 3 m s–1. It accelerates at a rate of 9.3 m s–2 for 1.8 seconds. Calculate the distance it travels in this time. PDST Resources for Leaving Certificate Physics6

  7. Ans. 3 A motorbike is travelling with a velocity of 3 m s–1. It accelerates at a rate of 9.3 m s–2 for 1.8 seconds. Calculate the distance it travels in this time.ANSWER PDST Resources for Leaving Certificate Physics7

  8. Q. 4 A Tesla Roadster car accelerates from rest at a rate of 7.1 m s–2 for a time of 3.9 s. Calculate the distance it travels in this time. PDST Resources for Leaving Certificate Physics8

  9. Ans. 4 A Tesla Roadster car accelerates from rest at a rate of 7.1 m s–2 for a time of 3.9 s. Calculate the distance it travels in this time.ANSWER PDST Resources for Leaving Certificate Physics9

  10. Q. 5 A bullet accelerates at a rate of 90 000 m s–2from rest. Calculate its velocity if it travels a distance of 0.5 m while accelerating. PDST Resources for Leaving Certificate Physics10

  11. Ans. 5 A bullet accelerates at a rate of 90 000 m s–2 from rest. Calculate its velocity if it travels a distance of 0.5 m while accelerating.ANSWER PDST Resources for Leaving Certificate Physics11

  12. Q. 6 An aircraft is travelling along a runway at a velocity of 25 m s–1. It accelerates at a rate of 4 m s–2 for a distance of 750 m before taking off. Calculate its take-off speed. PDST Resources for Leaving Certificate Physics12

  13. Ans. 6 An aircraft is travelling along a runway at a velocity of 25 m s–1.It accelerates at a rate of 4 m s–2 for a distance of 750 m before taking off. Calculate its take-off speed.ANSWER PDST Resources for Leaving Certificate Physics13

  14. Q. 7 A car is travelling at a speed of 21 m s–1. It accelerates at an average rate of 3 m s–2 for a time of 4 seconds. Find the distance it travels during the 4 seconds. PDST Resources for Leaving Certificate Physics14

  15. Ans. 7 A car is travelling at a speed of 21 m s–1.It accelerates at an average rate of 3 m s–2 for a time of 4 seconds. Find the distance it travels during the 4 seconds.ANSWER PDST Resources for Leaving Certificate Physics15

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