To win the game, a place kicker must kick a football from a point 45 m (49.212 yd) from the goal, and the ball must clear the crossbar, which is 3.05 m high. when kicked, the ball leaves the ground with a speed of 24 m/s at an angle of 32.6 ◦ from the horizontal. the acceleration of gravity is 9.8 m/s 2 . by how much vertical distance does the ball clear the crossbar? answer in units of m.

1.65m

Step-by-step explanation:

First, we have to know the velocity of the ball in both axis, x-axis and y-axis.

Vy = sen(32.6°)*24m/s =  12.9m/s

Vx = cos(32.6°)*24m/s = 20.2m/s

Now, we are told the distance covered by the ball, which es 45m (x-axis). With that info, we can find the time the ball traveled, by x=v*t

x = distance in x-axis and  Vx = 16.85m/s

Clearing t, we have: t = x / Vx = 45m / 20.2m/s = 2.2s

Finally, using the equation of vertical distance: Dy = 1/2 a*t² + V0y*t

Dy = (1/2*-9.8m/s²*2.2s²) + 12.9m/s*2.2s = -23.7m + 28.4m = 4.7m

The ball cleared the croosbar by 4.7m-3.05= 1.65m

the monthly balance will be $75,000

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: