1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mestny [16]
4 years ago
9

A football is kicked off with an initial speed of 64 ft/s at a projection angle of 45o. A receiver on the goal line 60 yd away i

n the direction of the kick starts running to meet the ball at that instant. Calculate his average speed if he is to catch the ball just before it hits the ground. Neglect air resistance.
Physics
1 answer:
Brut [27]4 years ago
4 0

The range (maximum horizontal distance) travelled by a projectile is given by the formula

R = V^2(sin 2A)/g

where

R = range

V = initial velocity of ball = 64 ft/sec. (given)

A = angle of launch = 45 degrees (given)

g = acceleration due to gravity = 32.2 ft/sec^2 (constant)

Substituting values,

R = 64^2(sin 2*45)/9.8

R = 127.20 feet

Since the receiver is 60 yards away (180 feet), he will have to travel a distance of 180 - 127.20 = 52.80 feet to catch the ball.

The ball's total travel time is given by the formula

T = 2V(sin A)/g

where all the terms have been previously defined.

Substituting values,

T = 2(64)(sin 45)/32.2

T = 2.82 sec.

Therefore, in order for the receiver to catch the ball, his speed must be equal to

52.80/2.82 = 18.72 ft/sec.

Hope this helps ya

You might be interested in
A beam of protons is directed in a straight line along the positive zz ‑direction through a region of space in which there are c
Zinaida [17]

Answer:

The magnitude is B = \frac{450}{7.9* 10^5}

The direction is  the positive x axis

Explanation:

From the question we are told that

   The  electric field is  E = 450 V/m in the negative y ‑direction

   The speed of the proton is  v= 7.9* 10^5\  m/s in the positive z direction

Generally the overall force acting on  the proton is mathematical represented as

              F_E =  q(\vec E + \vec v  * \vec B)

Now for the beam of protons to continue un-deflected along its straight-line trajectory then  F_E =0

So

          0  =  q( E (-y) + v(z)  * \vec B)

=>      E\^y = v \^ z  * \vec B

Generally from unit vector cross product vector multiplication

         \^ z  \ *  \  \^ x  =  \^  y

So the direction of  B (magnetic field must be in the positive x -axis )

So

       E\^y = v \^ z  *  B\^ x

=>     E\^y = vB ( \^ z  *  \^ x)

=>     E\^y = vB ( \^y)        

=>      E = vB  

=>      B = \frac{450}{7.9* 10^5}

=>      B =  0.0005696 \ T  

   

   

6 0
4 years ago
The earth's radius is 6.37×10^6m; it rotates once every 24 hours. with the angular speed of 7.3 x 10^-5 what is the speed of a p
alexira [117]
The speed of the earth's surface located at 2/3 of the length of the arc between the pole which measure from the equator is 232.5 m/s.

Solution:
So the givens are, earth's radius = 6.37X10^6m, and the angular distance from the pole is 90 degrees. So 60 degrees is the 2/3.

r = 6.37x10^6 * cos(60) = 3.185x10^6m
since v = wr
v = 7.3x10^-5 * 3.185x10^6

v - 232.5 m/s
6 0
4 years ago
How to measure the volume of a baseball bat ( need answers ASAP )
vaieri [72.5K]

<em>Measure the amount of water it displaces.</em>

This won't be easy, because the bat floats in water.  But I think you can get around that little problem like this:

-- Get some kind of a tank or tub that's big enough to hold the whole bat under water.

-- Get a heavy weight, like a big wrench or a small rock.  

-- Fill the tub almost to the tippy top with water.

-- Slip the heavy weight into the tub, slowly.  Some water will run over the top and out of the tub.  That's OK ... it's exactly what you want.  If NO water runs over the top, pour some more in, until it runs out and then stops.  You want the tub full to the brimmy rim with the rock at the bottom of it.

-- Take the heavy weight out of the tub.

-- Now set the tub into a bigger tub or a deep pan.  The next time it overflows and some water runs out of it, you'll need to catch that water and measure it.

-- Get a short piece of heavy string.  Tie the heavy weight to somewhere near the middle of the bat.

-- Slowly slide the bat into the water, with the rock tied to it.  The bat needs to go complete underwater.

-- Some more water will run over the top and out of the tub, and INTO the lower tub.  Wait until the overflow stops and everything settles down again.

-- Take the bat (tied to the weight) out of the tub.  Slowly and carefully, so that your hand or your arm doesn't make any MORE water run over and out.

-- Lift the upper tub out of the lower tub.

-- Take the lower tub, with the overflow water in it.  Using a kitchen measuring cup, or a saucepan or a bottle, or anything else with liquid amounts marked on it, measure how much water overflowed into the lower tub.

THAT amount is the volume of the bat.

You may have to do some units conversions.  Like if you need the volume of the bat in cm³ and you used measuring vessels marked in fluid ounces.  But you can find all those conversion factors with a search on Floogle.

8 0
3 years ago
Each gas sample has the same temperature and pressure. which sample occupies the greatest volume? each gas sample has the same t
Anit [1.1K]

Answer:

20 gram of H as the greastest volume

Explanation:

Each gas sample has the same temperature and pressure. which sample occupies the greatest volume? each gas sample has the same temperature and pressure. which sample occupies the greatest volume? 40.0 gar 20.0 gne 20.0 gh2 4.0 ghe

Given that,

40.0 g of Ar

20.0 g of Ne

20.0 g of h

24.0 g of he

The ideal gas equation ; Pv = nRT

where P is the pressure, V is the volume, R is the gas constant, T is the temperature, n is the number of mole

which is equal to

n = m / M

where m is the given mass

M is the molar mass

The given gas sample are at the same temperature and pressure,

So, the temperature, pressure and gas constant are fixed.

Therefore the volume is proportional to the given mass and molar mass

V ∝ m/M

Substitute the given mass and molar mass of given masses for comparison

No of mole of Ar = mass / molar mass

= 40 / 40 = 1 mole

No of mole of Ne = mass / molar mass

= 20 / 20 = 1 mole

No of mole of h = mass / molar mass

= 20 / 1 = 20 mole

No of mole of he = mass / molar mass

= 24 / 4 = 6 mole

Hence, 20 gram of H as the greastest volume

3 0
3 years ago
A vector d has a magnitude of2.6 m and points north. What are the magnitudes and directions of the vectors (a) - d, (b) d/2.0, (
AleksandrR [38]

Solution :

A vector is defined as an element that has magnitude of some measure and direction.

It is given there is vector 'd' which has magnitude 2.6 m and its direction is towards north.

a). -d

    The magnitude of the vector '-d' is 2.6 m and its direction is reversed, i.e. its direction is towards south.

b). d/2.0

  The magnitude of the vector 'd/2.0' is 1.3 m and its direction is towards north.

c). - 2.5d

  The magnitude of the vector increases by 2.5 times i.e. 2.5 x 2.6 = 6.5 m and the direction is towards south.

d). 5.0d

    The magnitude of the vector increases by 5 times i.e. 5 x 2.6 = 13 m and the direction is towards north.

4 0
3 years ago
Other questions:
  • A wooden dowel (cylinder) has a diameter of 2.20 cm. it floats in water with 0.60 cm of its diameter above water. determine the
    8·1 answer
  • Calculate the minimum average power output necessary for a person to run up a 12.0 m long hillside, which is inclined at 25.0° a
    14·1 answer
  • When lithosphere is subducted at a convergent plate boundary, the rock in the lithosphere heats up and the water that was locked
    14·1 answer
  • A 42-g firecracker is at rest at the origin when it explodes into three pieces. The first, with mass 12 g, moves along the x-axi
    15·2 answers
  • When approaching an intersection, bridge, or railroad crossing, you should never drive (pass on the left half of the roadway whe
    7·1 answer
  • You go and choose a solid chemical rocket which expels gas from the engine at 3 kilometers per second. The rocket has a total ma
    14·1 answer
  • How can the starch be removed from the leaves of potted plants​
    7·1 answer
  • BRainliest if correct
    7·2 answers
  • A person stands on the ball of one foot. The normal force due to the ground pushing up on the ball of the foot has magnitude 750
    9·1 answer
  • Specific heat capicity of water is 4200Jkg-1 C-1 . what its meaning .​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!