All categories

2 years ago

A football is kicked from a tee at 12 m/s at 72° above the horizontal. What is the flight time of the football? __s

1 answer:

8 0

2.3 seconds

Ignoring air resistance, the flight time is merely a function of gravity and vertical velocity. The vertical velocity will be the initial velocity multiplied by the sine of the angle above the horizon. So:

V = sin(72)*12 m/s

V = 0.951056516 * 12 m/s

V = 11.4126782 m/s

Gravitational acceleration is 9.8 m/s, so divide the vertical velocity by gravitational acceleration to get how long it takes for the ball to reach its apex.

11.4126782 m/s / 9.8 m/s^2 = 1.164559 s

And the old saying "What goes up, must come down" really applies here. And conveniently, it's also symmetric, in that the time it takes to fall will match the time it takes to reach its apex. So multiply the time by 2.

1.164559 s * 2 = 2.329117999 s

Rounding the result to 2 significant figures gives 2.3 seconds.

You might be interested in

PLEASE I NEED HELP ASAP!!!!!!!!!!

max2010maxim [7]

tooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

3 0

2 years ago

1. Since sleep is so important, we might wonder why people so often fail to get a sufficient amount

ziro4ka [17]

Answer: 9/10

Explanation:

because it's really important and makes you energetic

8 0

2 years ago

An owl has a mass of 4.00 kg. It dives to catch a mouse, losing 800.00 J of its GPE. What was the starting height of the owl, in

vesna_86 [32]

Answer:

height =20m

Explanation:

gpe=mgh

800=4×10×x

40x=800

x=20

3 0

2 years ago

An electron with velocity v = 1.0 ´ 106 m/s is sent between the plates of a capacitor where the electric field is E = 500 V/m. I

oksano4ka [1.4K]

Answer:

The deviation in path is $4.39 \times 10^{-3}$

Explanation:

Given:

Velocity $v = 1 \times 10^{6}$ $\frac{m}{s}$

Electric field $E = 500$ $\frac{V}{m}$

Distance $x = 1 \times 10^{-2}$ m

Mass of electron $m = 9.1 \times 10^{-31}$ kg

Charge of electron $q = 1.6 \times 10^{-19}$ C

Time taken to travel distance,

$t = \frac{x}{v}$

$t = \frac{1 \times 10^{-2} }{1 \times 10^{6} }$

$t = 10^{-8}$ sec

Acceleration is given by,

$F = qE$

$ma = qE$

$a = \frac{qE}{m}$

$a = \frac{1.6 \times 10^{-19} \times 500}{9.1 \times 10^{-31} }$

$a = 8.77 \times 10^{13}$ $\frac{m}{s^{2} }$

For finding the distance, we use kinematics equations.

$y = vt + \frac{1}{2} at^{2}$

Where $v = 0$ because here initial velocity zero

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

$y = \frac{1}{2} \times 8.77 \times 10^{13 } \times (10^{-2} )^{2}$

$y = 4.39 \times 10^{-3}$ m

Therefore, the deviation in path is $4.39 \times 10^{-3}$

6 0

2 years ago

A client is undergoing diagnostics for an alteration in thyroid function. What physiologic function is affected by altered thyro

xxTIMURxx [149]

Answer:

The thyroid is a butterfly-shaped gland that sits low on the front of the neck.It plays a major role in the metabolism, growth and development of the human body

Explanation:

The physiologic function affected by altered thyroid function are:

1. It is likely that all cells in the body are targets for thyroid hormones

2. It stimulates diverse metabolic activities most tissues, leading to an increase in basal metabolic rate

3. Thyroid hormones are clearly necessary for normal growth

Thyroid hormones increases heart rate, cardiac contractility and cardiac output. They also promote vasodilation (widening of blood vessels), which leads to enhanced blood flow to many organs. Central nervous system: Both decreased and increased concentrations of thyroid hormones lead to alterations in mental state.

There do not seem to be organs and tissues that are not affected by thyroid hormones

6 0

2 years ago