Answer: 2.04 s
Explanation:
Let the initial velocity be v, Angle of projectile be
Then the horizontal component = v cos θ = 16 m/s
Vertical component of velocity = v sin θ = 20 m/s
Time taken to reach the highest point is half the time taken for total flight.
Time for total flight,
Thus, the football takes 2.04 s to rise to the highest point of its trajectory.
Answer:
The tangential speed of the tack is 6.988 meters per second.
Explanation:
The tangential speed experimented by the tack (), measured in meters per second, is equal to the product of the angular speed of the wheel (), measured in radians per second, and the distance of the tack respect to the rotation axis (), measured in meters, length that coincides with the radius of the tire. First, we convert the angular speed of the wheel from revolutions per second to radians per second:
Then, the tangential speed of the tack is: (, )
The tangential speed of the tack is 6.988 meters per second.
Answer:
<em>x < 4</em>
Explanation:
<u>Inequalities</u>
The inequalities relate expressions using signs different from the equal sign, like "<" or "<" among others.
They can be treated as a normal equation but in case of directional relationals, care must be taken when multiplying or dividing by negative numbers.
The inequality given in the question is
3x - 4 > 4x - 8
Subtracting 3x in both sides
3x - 4 -3x > 4x - 8 -3x
Simplifying
-4 > x - 8
Adding 8
-4 + 8 > x - 8 + 8
Simplifying
4 > x
The solution comes by flipping both sides and the inequality sign
x < 4
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