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Distance, Speed & Acceleration (Published)
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Distance, Speed & Acceleration
Practice Your Skills
Question 1
A monkey hanging from a 10 m tree lets go.
Assuming the acceleration due to gravity is 10 m/s , how fast is the monkey traveling when it hits the ground?
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What do we know?
Distance ( s ) = 10 m
Acceleration ( a ) = 10 m/s
Initial speed ( u ) = 0 m/s
What do we need to find out?
Final speed ( v )
Which equation do we need to use?
v = u + 2 as
Help
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Question 1: Answer
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Reveal Answer
Distance ( s ) = 10 m
Acceleration ( a ) = 10 m/s
Initial speed ( u ) = 0 m/s
v = u + 2 as
v = 0 + 2 x 10 x 10
v = 200 m/s
v =
v = 14 m/s
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Question 2
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A swimmer is traveling at a steady speed of 2 m/s throughout the race. 20 m from the finish line, she decides to go for a sprint finish and increases her speed to 2.5 m/s over the next 2 m. She completes the race at this new speed.
a) What is her acceleration as she speeds up?
b) How long will it take her to finish the race?
What do we know?
Distance left in race ( s ) = 20 - 2 m
Initial speed ( u ) = 2 m/s
Final speed ( v ) = 2.5 m/s
Distance accelerating ( s ) = 2 m
What do we need to find out?
Acceleration ( a )
Which equations do we need to use?
v = u + 2 as
a = v - u / 2s
v = s/t
Help
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Question 2: Answer
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Reveal Answer
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Distance left in race ( s ) = 20 - 2 = 18 m
Initial speed ( u ) = 2 m/s
Final speed ( v ) = 2.5 m/s
Distance accelerating ( s ) = 2 m
a) a = v - u / 2s
a = 2.5 - 2 / 2 x 2
a = 6.25 - 4 / 4
a = 0.56 m/s
b) v = s/t
t = s/v
t = 18 / 2.5
t = 7.2 s
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Question 3
A skier is traveling at 12 m/s when she arrives at the level section at the bottom of the slope. She decelerates at 3 m/s before stopping. The crash barrier is 25 m away.
a) Does she hit the crash barrier?
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Help
What do we know?
Initial speed ( u ) = 12 m/s
Final speed ( v ) = 0 m/s
Acceleration ( a ) = -3 m/s
What do we need to find out?
Distance ( s )
Which equation do we need to use?
v = u + 2 as
s = v - u / 2a
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Question 3: Answer
2
Reveal Answer
Initial speed ( u ) = 12 m/s
Final speed ( v ) = 0 m/s
Acceleration ( a ) = -3 m/s
s = v - u / 2a
s = 0 - 12 / 2 x -3
s = -144 / -6
s = 24 m
No she will not hit the barrier.
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