Physics, 16.04.2020 00:25 Baby010391

A soccer ball is kicked into the air from level ground with an initial speed of 20 m/s and returns to ground level at which angle above the horizontal should the ball be kicked in order for the ball to travel the greatest total horizontal distance

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Answer from: QueenNerdy889

The angle that makes the highest horizontal distance is required.

The maximum range will be 40.77 m at an angle of $45^{\circ}$

u = Initial velocity = 20 m/s

g = Acceleration due to gravity = $9.81\ \text{m/s}^2$

The horizontal range is given by

$x=\dfrac{u^2}{g}\sin2\theta$

The value of $\sin \theta$ ranges from to .

So, range will be maximum when

$\sin 2\theta=1\\\Rightarrow 2\theta=\sin^{-1}1\\\Rightarrow 2\theta=90^{\circ}\\\Rightarrow \theta=\dfrac{90}{2}\\\Rightarrow \theta=45^{\circ}$

$x=\dfrac{20^2}{9.81}\sin(2\times 45)\\\Rightarrow x=40.77\ \text{m}$

The maximum range will be 40.77 m at an angle of $45^{\circ}$

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Answer from: jayelijah0508

For the ball to travel the greatest distance it must be kicked at an angle of 45° to the horizontal

Since 90° is upward 0° is straightforward 45° splits at the middle to give the greatest distance

Explanation:

What is the maximum range of a projectile?

The range (R) of the projectile is the horizontal distance it travels during the motion.

The reason that 45 degrees is the best launch angle (resulting in the longest flight) is that it perfectly splits the upward and forward forces. Ninety degrees is straight up. Zero degrees is straight forward. 45 degrees is right in the middle, half of 90.

Answer from: Quest

from

explanation:

wind is defined by the direction it blows from. for example, a wind blowing from north to south is called a northerly wind.

Answer from: Quest

You need to be more specific. i really don't know what a "motion map" is.you can draw a graph of an object's position, distance, displacement, speed,velocity, or acceleration versus time, or you can draw a graph of the object's x-position versus its y-position and not give any information about time at all.if the graph presents position or displacement against time, then constant velocity is a straight line . . i.e. a line that has constant slope.if the graph shows speed against time, then constant velocityis a horizontal piece of line.if the graph shows acceleration against time, then constant velocity is a piece of line that lies on the x-axis . . it's value is zero.

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