The vertical height of an ocean wave from a crest to a trough is 10 meters. What is the amplitude of the ocean wave?
2 answers:
Answer:
Amplitude, A = 5 m
Explanation:
It is given that, the vertical height of an ocean from a crest to trough is 10 meters.
The attached figure shows the vertical height from a crest to a trough is 10 m. We know that the maximum displacement of the wave is called its amplitude. A represents the amplitude of wave. It is the distance from the baseline to the crest or to the trough.
So, the amplitude of the ocean wave must be equal to half of wave's height i.e. 10/2 = 5 meters.
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1) The car overtakes the truck at a distance of 160 m far from the intersection.
2) The velocity of the car is 40 m/s
Explanation:
1)
The car is travelling with a constant acceleration starting from rest, so its position at time t (measured taking the intersection as the origin) is given by
where
is the acceleration
t is the time
On the other hand, the truck is travelling at a constant velocity, therefore its position at time t is given by
where
v = 20 m/s is the velocity of the truck
t is the time
The car overtakes the truck when the two positions are the same, so when
So, after a time of 8 seconds. Therefore, the distance covered by the car during this time is
So, the car overtakes the truck 160 m far from the intersection.
2)
The motion of the car is a uniformly accelerated motion, so the velocity of the car at time t is given by the suvat equation
where
v is the velocity at time t
u is the initial velocity
a is the acceleration
For the car in this problem, we have:
u = 0 (it starts from rest)
And we know that the car overtakes the truck when
t = 8 s
Substituting into the equation,
Learn more about accelerated motion:
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