Scientists often use models to study the movement of continents. Why might scientists use a model to show this movement? A. Extr
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Let A = i+j+k be a vector and B = 3 be any scalar,
Multiplying A and B,
AB = (i+j+k)3 = 3i+3j+3k
Which is a new vector whose direction is same as the old but it's 3 times greater in length than the old vector(i+j+k).
Now, dividing A and B,
A/B = (i+j+k)/3 =
Which is again a new vector whose direction is same as the old but now it's 1/3 times small in length than the old vector.
Direction is same because we multiplied by positive scalar. If we multiply A by suppose -1, -4, -1000000 or any negative number, it's direction will reverse.
Thus, if we multiply a vector with scalar, it's length increases. If we divide, it shrinks.
Multiplying A and B,
AB = (i+j+k)3 = 3i+3j+3k
Which is a new vector whose direction is same as the old but it's 3 times greater in length than the old vector(i+j+k).
Now, dividing A and B,
A/B = (i+j+k)/3 =
Which is again a new vector whose direction is same as the old but now it's 1/3 times small in length than the old vector.
Direction is same because we multiplied by positive scalar. If we multiply A by suppose -1, -4, -1000000 or any negative number, it's direction will reverse.
Thus, if we multiply a vector with scalar, it's length increases. If we divide, it shrinks.
Let be the initial velocity of the soccer ball at an angle of inclination of
with the positive x-axis.
Given that:
The horizontal distance covered by the projectile=20 m
Time of flight, seconds
Acceleration due to gravity, downward.
As "north" and "up" as the positive x ‑ and y ‑directions, respectively.
So,
As the acceleration due to gravity is in the vertical direction, so the horizontal component of the initial velocity remains unchanged.
The x-component of the initial velocity, .
The horizontal distance covered by the projectile
m/s
So, the horizontal component of the velocity is 10 m/s which is constant and the graph has been shown in the figure (i).
Now, [as
]
m/s.
The vertical component of the initial velocity,
m/s
Let v be the vertical component of the velocity at any time instant t.
From the equation of motion,
where u: initial velocity, v: final velocity, a: constant acceleration, and t: time taken to change the velocity from u to v.
In this case, we have .
So at any time instant, t.
The vertical component of the velocity, v, is the function of time and related as .
This is a linear equation.
At 2 second, the vertical component of the velocity
v=10-10x2=-10 m/s.
The graph has been shown in figure (ii).
Answer:
c. 972
Explanation:
The volume of a rectangular solid is calculated as the product of its dimensions, that is, its width, its length and its height:
1 feet is equal to 12 inches, so:
Now, we calculate the volume of the object in cubic inches: