Answer:
16.8 seconds
Explanation:
Given that:
Constant speed of rabbit = 4.2 m/s
Initial Velocity (u) of cat = 0
Acceleration (a) of cat = 0.5 m/s²
Time it takes cat to catch rabbit ;
Using the relation:
Distance moved by rabbit (Dr) :
Dr = speed * time ; Dr = 4.2t
Distance moved by Cat (Dc) :
Dc = ut + 0.5at^2
Dc = 0 + 0.5at^2
Hence, Cat will catch rabbit when Dr = Dc
4.2t = 0.5at^2
4.2t = 0.5(0.5)t^2
4.2t = 0.25t^2
Divide both sides by t
4.2 = 0.25t
t = 4.2 / 0.25
t = 16.8 seconds
Hence, the cat will catch the rabbit after 16.8 seconds
Answer:
Difference in Twin's Ages = 12.68 years
Explanation:
Using special theory of relativity's time dilation phenomenon, we first find the time that is passed on earth during Lou's trip.
t = t₀/[√(1 - v²/c²)]
where,
t = time measured by the person in relative motion = 1 year
t₀ = time measured by the person at rest = ?
v = speed of relative motion = 0.96 c
c = speed of light
Therefore,
1 year = t₀/[√(1 - 0.96² c²/c²)]
1 year = t₀/[√(1 - 0.9216)]
(1 year)(0.28 year) = t₀
t₀ = 0.28 year
Let,
y = Sue's age
x = Lou's age
so,
x - y = 13.4 years
but, after this trip Lou has aged 1 year, and on earth only 0.28 years passed so, Sue has aged only 0.28 years. Therefore,
x = x + 1
y = y + 0.28
Therefore,
(x + 1 year) - (y + 0.28 year) = 13.4 years
x - y = 13.4 years - 0.72 year
x - y = 12.68 years
<u>Difference in Twin's Ages = 12.68 years</u>
Answer: B) 30 km/h
Explanation:
The speed of Ben and Jerry on their way to the store is given by
where
d is the distance they covered
t is the time they took
From the graph, we see that Ben and Jerry travelled for a distance of d=60 km in a time of t=2 h, so their speed is
Answer:
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Explanation:
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