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lorasvet [3.4K]
3 years ago
8

Posting on social media as a business can be a free way of generating interest in a childcare center's services.

Physics
1 answer:
max2010maxim [7]3 years ago
4 0
We know this already
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An object is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal.
Hitman42 [59]

Answer:

(a) max. height = 3.641 m

(b) flight time = 1.723 s

(c) horizontal range = 31.235 m

(d) impact velocity = 20 m/s

Above values have been given to third decimal.  Adjust significant figures to suit accuracy required.

Explanation:

This problem requires the use of kinematics equations

v1^2-v0^2=2aS .............(1)

v1.t + at^2/2 = S ............(2)

where

v0=initial velocity

v1=final velocity

a=acceleration

S=distance travelled

SI units and degrees will be used throughout

Let

theta = angle of elevation = 25 degrees above horizontal

v=initial velocity at 25 degrees elevation in m/s

a = g = -9.81 = acceleration due to gravity (downwards)

(a) Maximum height

Consider vertical direction,

v0 = v sin(theta) = 8.452 m/s

To find maximum height, we find the distance travelled when vertical velocity = 0, i.e. v1=0,

solve for S in equation (1)

v1^2 - v0^2 = 2aS

S = (v1^2-v0^2)/2g = (0-8.452^2)/(2*(-9.81)) = 3.641 m/s

(b) total flight time

We solve for the time t when the vertical height of the object is AGAIN = 0.

Using equation (2) for vertical direction,

v0*t + at^2/2 = S    substitute values

8.452*t + (-9.81)t^2 = 3.641

Solve for t in the above quadratic equation to get t=0, or t=1.723 s.

So time for the flight = 1.723 s

(c) Horiontal range

We know the horizontal velocity is constant (neglect air resistance) at

vh = v*cos(theta) = 25*cos(25) = 18.126 m/s

Time of flight = 1.723 s

Horizontal range = 18.126 m/s * 1.723 s = 31.235 m

(d) Magnitude of object on hitting ground, Vfinal

By symmetry of the trajectory, Vfinal = v = 20, or

Vfinal = sqrt(v0^2+vh^2) = sqrt(8.452^2+18.126^2) = 20 m/s

7 0
3 years ago
This is a small rocky body that orbits the sun, and when close to the sun exhibit a small tail of ice and gas.
Over [174]
This is a comet. It is also called a dirty snowballs.
3 0
3 years ago
When a bat uses echolocation to determine the distance to an insect, it sends out a sound wave and waits to see how long the sou
ZanzabumX [31]

Answer:

Explanation:

Distance travelled by sound in going to target( insect )  and returning back = 2d ,d is distance of target .

time t = .06 s

speed = distance / time

344.9 = 2d / .06

d = 10.35 m

3 0
3 years ago
9. A 12 v battery is connected to four 5 ohm light bulbs. What is the equivalent
vlabodo [156]
20 ohms 5 ohms
12volts
7 0
2 years ago
A hammer falls off the top roof and strikes the ground with a certain kinetic energy. If it fell from a roof twice as tall how w
Akimi4 [234]

The kinetic energy with which the hammer strikes the ground
is exactly the potential energy it had at the height from which it fell. 

Potential energy is (mass) x (gravity) x (height) .... directly proportional
to height.

Starting from double the height, it starts with double the potential
energy, and it reaches the bottom with double the kinetic energy.

8 0
3 years ago
Read 2 more answers
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