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Velocity, speed and acceleration
5m/s velocity 5m/s North East Velocity is speed in a given direction 5m/s speed 5m/s going round An object moving at a steady speed is accelerating if its direction is changing
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Acceleration = change in velocity (m/s)
time (s) (m/s/s) Acceleration is the change in velocity each second. eg What is the acceleration of the cyclist? Initial speed = 8 m/s final speed = 20 m/s time taken = 6 sec acceln = v = 12 m/s t s = 2m/s/s
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Acceleration = change in velocity (m/s)
time (s) (m/s/s) Acceleration is the change in velocity each second. eg What is the acceleration of the cyclist? Initial speed = 8 m/s final speed = 20 m/s time taken = 6 sec acceln = v = 12 m/s t s = 2m/s/s
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Acceleration = change in velocity (m/s)
time (s) (m/s/s) Acceleration is the change in velocity each second. eg What is the acceleration of the cyclist? Initial speed = 8 m/s final speed = 20 m/s time taken = 6 sec acceln = v = 12 m/s t s = 2m/s/s
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Initial speed = 8 m/s final speed = 20 m/s time taken = 6 sec acceln = v = 12 m/s t s = 2m/s/s Calculate these accelerations: Q1. A motor bike accelerates from 10m/s to 20m/s in 2 sec. Q2. Concorde accelerates from rest to 40m/s in 10 sec. Q3. A wasp accelerates from 2m/s to 6m/s in 1sec.
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Velocity (m/s) 10 5 Acceleration is the gradient or slope of a velocity : time graph. b a c time / s
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a b c Velocity (m/s) 10 5 time / s Acceleration is the gradient or slope of a velocity : time graph. a. Steady Acceleration: acceln = v = t
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a b c Velocity (m/s) 10 5 time / s Acceleration is the gradient or slope of a velocity : time graph. a. Steady Acceleration: acceln = v = 10 m/s = 2 m/s/s t s
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a b c Velocity (m/s) 10 5 time / s Acceleration is the gradient or slope of a velocity : time graph. a. Steady Acceleration: acceln = v = 10 m/s = 2 m/s/s t s b. Uniform Velocity:
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a b c Velocity (m/s) 10 5 time / s Acceleration is the gradient or slope of a velocity : time graph. a. Steady Acceleration: acceln = v = 10 m/s = 2 m/s/s t s b. Uniform Velocity: 10m/s ( zero acceln )
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a b c Velocity (m/s) 10 5 time / s Acceleration is the gradient or slope of a velocity : time graph. a. Steady Acceleration: acceln = v = 10 m/s = 2 m/s/s t s b. Uniform Velocity: 10m/s ( zero acceln ) c. Steady deceleration: (- ve Acceleration) acceln = v = - t
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a b c Velocity (m/s) 10 5 time / s Acceleration is the gradient or slope of a velocity : time graph. a. Steady Acceleration: acceln = v = 10 m/s = 2 m/s/s t s b. Uniform Velocity: 10m/s ( zero acceln ) c. Steady deceleration: (- ve Acceleration) acceln = v = -10 m/s = m/s/s t s
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The distance travelled is the area under a
v:t graph. Velocity m/s 10 5 time / s
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The distance travelled is the area under a
v:t graph. Velocity m/s 10 5 b a c time / s
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The distance travelled is the area under a
v:t graph. Velocity m/s 10 5 5 x 10 = 25m 2 b a c time / s
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The distance travelled is the area under a
v:t graph. Velocity m/s 10 5 5 x 10 = 25m 2 b 10 x 10 = 100m a c time / s
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The distance travelled is the area under a
v:t graph. Velocity m/s 10 5 5 x 10 = 25m 2 b 10 x 10 = 50m 2 10 x 10 = 100m a c time / s
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If investigating how the slope of a runway affects a trolley’s acceleration:
a) Name The independent variable 2. The dependent variable b) What is the relationship between the variables?
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If investigating how the slope of a runway affects a trolley’s acceleration:
a) Name The independent variable 2. The dependent variable b) What is the relationship between the variables?
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a) Name 1. The independent variable 2. The dependent variable
Distance from sensor Time If investigating how the slope of a runway affects a trolley’s acceleration: a) Name The independent variable 2. The dependent variable b) What is the relationship between the variables?
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B A D C A C A - has the largest area under the graph C - has the smallest area under the graph
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Which car has the highest acceleration? X or Y
Y - has the steepest slope
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is constant. of an object decreases. speed acceleration speed
∆ v = = 20m/s a = ∆ v = 20 ∆ t = m/s/s
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accelerates steady steeper steeper slope speed : time ticker tape trolley.
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