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SITEMAP School Physics Notes: Forces & motion 2.3 Acceleration, velocity-time graph Qs
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Forces and Motion 2.3 Acceleration formula, problem solving calculations and interpreting velocity-time graphs Doc Brown's Physics exam study revision notes Practice exam questions on speed/velocity-time graphs This page contains online questions only. Jot down your answers and check them against the worked out answers at the end of the page 2.3 Acceleration formula, problem solving calculations and interpreting velocity- time graphs Acceleration is about change in speed or velocity of an object and is not the same as speed or velocity. Acceleration has its own defined formula, which expresses a change in velocity in a defined time interval. acceleration = change in velocity ÷ time taken to effect the velocity change
Velocity - time graphs - illustrating the motion of objects A to F
Note on the use of words:
Example calculations based on the acceleration formula and velocity-time graph interpretation Q1 A car accelerates from 10 m/s to 30 m/s in 15 seconds.
Q2 A train accelerates at 0.50 m/s^{2} for 30 seconds.
Q3 If a car accelerates at 0.30 m/s^{2} from a standing start, how long will it take to attain a speed of 21 m/s?
Q4 A car brakes sharply from moving at 30 m/s to 10 m/s in 4.0 seconds.
Q5 The graph below summarises the first 100 seconds of a cyclist's race.
When calculating displacement (distance travelled), with this velocity - time graph, both triangles and rectangles are involved. (a) (i) What is the initial uniform acceleration of the cyclist in this time period?
(b) At which point is the cyclist's acceleration the greatest? and calculate the acceleration at this point.
Q6 The graph below summarises a 100 minute commuter train journey, but with some signal delays!
Watch out for min ==> hour conversions!
Q7 A car travelling at 36 m/s skids off the road and hits a wall.
Q8 The graph below profiles the speed of a cyclist at the start of a race.
NOT a linear graph!
Q9 A van is travelling at 20 m/s has its brakes applied for 5.0 seconds.
Q10 If an object is fired vertically up in the air from ground level and falls back down.
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 velocity-time graph and other calculation questions on
acceleration/deceleration questions Q1 A car accelerates from 10 m/s to 30 m/s in 15 seconds.
Q2 A train accelerates at 0.50 m/s^{2} for 30 seconds.
Q3 If a car accelerates at 0.30 m/s^{2} from a standing start, how long will it take to attain a speed of 21 m/s?
Q4 A car brakes sharply from moving at 30 m/s to 10 m/s in 4.0 seconds.
Q5 The graph below summarises the first 100 seconds of a cyclist's race.
When calculating displacement (distance travelled), with this velocity - time graph, both triangles and rectangles are involved. (a) (i) What is the initial uniform acceleration of the cyclist in this time period?
(b) At which point is the cyclist's acceleration the greatest? and calculate the acceleration at this point.
Q6 The graph below summarises a 100 minute commuter train journey, but with some signal delays!
Watch out for min ==> hour conversions!
Q7 A car travelling at 36 m/s skids off the road and hits a wall.
Q8 The graph below profiles the speed of a cyclist at the start of a race.
NOT a linear graph!
Q9 A van is travelling at 20 m/s has its brakes applied for 5.0 seconds.
Q10 If an object is fired vertically up in the air from ground level,
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