Can somebody help? Would be appreciated!

You are riding a broomstick and see a golden ball hovering motionless 30 meters directly in front

Alisiya [41]

You should fly at an angle of $14.0^{\circ}$

Explanation:

The motion of the ball is a free fall motion, so the vertical displacement of the ball (in negative directions) is given by

$y=\frac{1}{2}gt^2$

where

$g=9.8 m/s^2$ is the acceleration due to gravity

t is the time

The horizontal distance you have to cover to catch the ball is

$x = 30 m=d$

The vertical and horizontal displacement form a right triangle, so that we can write

$tan \theta = \frac{y}{x}$

where $\theta$ is the direction of your motion. Substituting,

$tan \theta = \frac{gt^2}{2d}$ (1)

We also know that the horizontal position of the person at time t is

$x(t) = v cos \theta t$

And so, for the time t at which the person catches the ball,

$d=v cos \theta t\\t=\frac{d}{v cos \theta}\\t^2=\frac{d^2}{v^2 cos^2 \theta}$

Substituting this expression into (1),

$tan \theta = \frac{g}{2d} \frac{d^2}{v^2 cos^2 \theta}\\2 tan \theta cos^2 \theta = \frac{gd}{2v^2}$

And using

$tan \theta = \frac{sin \theta}{cos \theta}, 2sin \theta cos \theta = sin(2\theta)$

we find:

$sin (2\theta) = \frac{gd}{v^2}=\frac{(9.8)(30)}{25^2}=0.470\\2\theta = sin^{-1}(0.470)=28.0^{\circ}\\\theta=\frac{28}{2}=14.0^{\circ}$

Learn more about free fall motion:

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#LearnwithBrainly

4 0

3 years ago

An object moving in the +x axis experiences an acceleration of 2.0 m/sec2 This means the object is

vichka [17]

Answer:

When we say that an object moving in the +x axis experiences an acceleration of 2.0 m/sec2, it really means the object is increasing its velocity by 2.0 m/s in every second.

Explanation:

As we know that Acceleration is the rate of change of velocity with respect to time, in terms of both speed and direction.

i.e.

a = Δv/Δt

so when we say that an object moving in the +x axis experiences an acceleration of 2.0 m/sec2, it really means the object is increasing its velocity by 2.0 m/s in every second.

7 0

3 years ago

A ball moving 2 ft/s rolls off a table (on earth) that is 32 inches high. How long will it take the ball to hit the floor answer

mart [117]

Answer:When the ball rolls off the edge of the table, it will continue moving forward at 2.0 m/s until it hits the floor.

Explanation:This is what I would say is the answer bc I had to do reasearch on a lot of this for my work this year so if its not im veery sorry

3 0

3 years ago

The weight of an object is the product of its mass, m, and the acceleration of gravity, g (where g=9.8 m/s2). If an object’s mas

lina2011 [118]

You just told us that Weight = (mass) x (gravity),
and that mass=10kg and gravity = 9.8 m/s².

All we need to do is write those numbers in place of the letters.

Weight = (10 kg) x (9.8 m/s²) = <em>98 newtons</em>.

6 0

4 years ago

What conducts heat the be best?

olga nikolaevna [1]

It just has to be metal

4 0

3 years ago