The first version of a product, which is built and tested during the third stage of technological design, is called a
2 answers:
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Answer: 184,615,384.6 years
Explanation:
This problem can be solve by the following equation:
(1)
Where:
is the spreading rate of the seafloor, its velocity
is the distance the Africa's west coast moved at this rate
is the time it took to the coast to move the descibed distance
Isolating from (1):
(2)
(3)
Finally:
This is the time it took to the Africa's west coastto move away from the Mid atlantic ridge.
a) The horizontal distance covered by the projectile is 600 m
b) The projectile reaches its maximum height after 3.00 s
c) The altitude of the highest point is 44.1 m
Explanation:
a)
The motion of the projectile consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction
In this part A, we just need to analyze the horizontal motion. We know that:
- The projectile travels horizontally with a constant velocity ov
- The total time of flight of the projectile is
Therefore, the horizontal distance covered by the projectile is given by
And substituting, we find
b)
For this part, we need to analyze the vertical motion of the projectile.
First, we want to find the initial vertical velocity. We can do it by using the equation for the vertical displacement:
where:
is the initial vertical velocity
is the acceleration of gravity (negative because it is downward)
t is the time
s is the vertical displacement
We know that the total time of flight is t = 6.00 s: this means that when t=6, the projectile returns to its initial vertical position, so s = 0. Substituting and solving for , we get
The vertical velocity then as a function of t is given by
And at the maximum height, it becomes zero: . Substituting and solving for t, we find the time at which the projectile reaches the maximum height:
c)
To find the altitude of the highest point in the path, we use again the equation:
where
is the initial vertical velocity
t = 3.00 s is the time at which the projectile reaches the highest point
is the acceleration of gravity
Substituting the values, we find
So, the highest point is at 44.1 m above the ground.
Learn more about projectiles:
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