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SITEMAP School Physics Notes: Forces & motion 2.4 Advanced motion calculations
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Forces and Motion 2.4 More advanced motion calculations involving uniform acceleration using the formula v^{2} - u^{2} = 2as (3rd equation of motion) Doc Brown's Physics exam study revision notes This page contains online questions only. Jot down your answers and check them against the worked out answers at the end of the page 2.4 More advanced motion calculations involving uniform acceleration using v^{2} - u^{2} = 2as (this section might not be required for your course) Constant acceleration is known as linear uniform acceleration. A good example is an object free falling in a gravitational field e.g. it is the acceleration due to gravity is 9.8 m/s^{2} at the Earth's surface. You can use the following formula to do calculations based on a uniform acceleration situation.
Examples questions based on uniform acceleration Q3.1 An initially stationary car accelerates uniformly at a rate of 1.50 m/s^{2}.
Q3.2 A jet rocket plane is launched from a converted jet airliner with an acceleration of 10.0 m/s^{2}.
Q3.3 A car is moving at a speed of 20 m/s when the driver presses on the accelerator pedal and after a distance of 400 m the car is travelling at 30 m/s. Assuming it is uniform, calculate the acceleration of the car.
Q3.4 A rocket is moving vertically upwards and leaves the launch silo with a velocity of 10.0 m/s. Booster rockets are immediately fired to produce an acceleration of 4.00 m/s^{2}.
Q3.5 An object is dropped from a height of 10 m above the ground. Ignoring air resistance, if the acceleration due to gravity is 9.8 m/s^{2},
Q3.6 A an object is dropped from a certain height above the ground.
Q3.7 An object is fired vertically up into the air with an initial velocity of 20.0 m/s.
Q3.8 A falling object is travelling at 10 m/s when it is 10 m above the ground.
Notes index on acceleration, deceleration, velocity/speed-time graphs Keywords, phrases and learning objectives for acceleration and graph work
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Worked out
ANSWERS
to the questions based on a uniform acceleration formula Q3.1 An initially stationary car accelerates uniformly at a rate of 1.50 m/s^{2}.
Q3.2 A jet rocket plane is launched from a converted jet airliner with an acceleration of 10.0 m/s^{2}.
Q3.3 A car is moving at a speed of 20 m/s when the driver presses on the accelerator pedal and after a distance of 400 m the car is travelling at 30 m/s. Assuming it is uniform, calculate the acceleration of the car.
Q3.4 A rocket is moving vertically upwards and leaves the launch silo with a velocity of 10.0 m/s. Booster rockets are immediately fired to produce an acceleration of 4.00 m/s^{2}.
Q3.5 An object is dropped from a height of 10 m above the ground. Ignoring air resistance, if the acceleration due to gravity is 9.8 m/s^{2},
Q3.6 A an object is dropped from a certain height above the ground.
Q3.7 An object is fired vertically up into the air with an initial velocity of 20.0 m/s.
Q3.8 A falling object is travelling at 10 m/s when it is 10 m above the ground.
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