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

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PDST Resources for Leaving Certificate Physics 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.

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PDST Resources for Leaving Certificate Physics 3 Ans. 1 Use the no s equation: 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

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PDST Resources for Leaving Certificate Physics 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 ?

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

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PDST Resources for Leaving Certificate Physics 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.

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PDST Resources for Leaving Certificate Physics 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

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PDST Resources for Leaving Certificate Physics 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.

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PDST Resources for Leaving Certificate Physics 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

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PDST Resources for Leaving Certificate Physics 10 Q. 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.

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PDST Resources for Leaving Certificate Physics 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

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PDST Resources for Leaving Certificate Physics 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.

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PDST Resources for Leaving Certificate Physics 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

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PDST Resources for Leaving Certificate Physics 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.

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PDST Resources for Leaving Certificate Physics 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

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Motion Equations. Derived Equations Some useful equations can be derived from the definitions of velocity and acceleration.

Motion Equations. Derived Equations Some useful equations can be derived from the definitions of velocity and acceleration.

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