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
Anettt [7]
2 years ago
6

A rock is thrown upward from level ground in such a way that the maximumheight of its flight is equal to its horizontal rangeR.

a) At what angleθis therock thrown? b) In terms of its original rangeR, what is the rangeRmaxtherock can attain if it is launched at the same speed but at the optimal anglefor maximum range? c) Would your answer to part a) be different if the rockis thrown with the same speed on a different planet? Explain.
Physics
1 answer:
Snowcat [4.5K]2 years ago
5 0
A) The vertical component of velocity v is taking the rock to a height

Vertical component = vsin\theta
The time taken to reach maximum height = \frac{vsin\theta}{g}
So total time of rocks flight = \frac{2vsin\theta}{g}
Range of rock is due to the horizontal component of velocity = vcos\theta
Range = \frac{2*v*sin\theta*v*cos\theta}{g} = \frac{2*v^2*sin\theta*cos\theta}{g}
Maximum height = \frac{g*t^2}{2} = \frac{v^2*sin^2\theta}{2*g}
Since range = maximum height
We have \frac{2*v^2sin\theta*cos\theta}{g} = \frac{v^2*sin^2\theta}{2*g}
tan\theta = 4
\theta = 75.96^0
So when angle of projection is \theta = 75.96^0 range is equal to maximum height reached.
b) We have range = \frac{2*v^2*sin\theta*cos\theta}{g} =\frac{2*v^2*sin2\theta}{g}
Maximum of range is reached when \theta = 45^0
Maximum range = \frac{2*v^2}{g}
c) For range to be equal to maximum height only condition is tan\theta = 4, it does not depend upon acceleration due to gravity and velocity. That angle is a constant.
You might be interested in
If HST has a tangential speed of 7,750 m/s, how long is HST’s orbital period? The radius of Earth is 6.38 × 106 m. s
Sladkaya [172]
 the orbital period is 5170 s
6 0
3 years ago
When dogs see police dogs do they think "oh no its the cops"?
ira [324]

No they say "Watch out it's the fuzz"

4 0
2 years ago
Read 2 more answers
A person is listening to a tone of 500 Hz sitting from a distance of 450 m from the source of the sound. What is the time interv
VladimirAG [237]

Answer:

ΔX = λ = 0.68 m

Explanation:

Wave speed is related to wavelength and frequency by the equation

          v = λ f

where the speed of sound is 340 m / s

          λ = v / f

          λ = 340/500

          λ = 0.68 m

this is the wavelength, it is the minimum distance for which the wave epitates its movement, which is equal to the distance between two consecutive compressions of the sound

          ΔX = λ = 0.68 m

5 0
3 years ago
brainly a child on a swing set swings back and forth with a period of 3.3 s and an amplitude of 25°. what is the maximum speed o
beks73 [17]

Maximum speed of the child as she swings is  2.23 m/s.

<h3>Step by Step Calculation:</h3>

T=3.3 s is the oscillation's time period.

The swing's greatest angle is 25° (max).

The swing's bottom will have the following kinetic energy:

k=12mv2...........(1)

The mass in this situation is m, and the speed is v.

The potential energy change is expressed as,

∆U=mgL1-cosθmax...............(2)

Here, L is a string's length and g is the acceleration caused by gravity. L is given as,

L=gT24π2

Combine equation (1) with (2)

12mv2=mgL1-cos, maxv=2g, maxv=gT24, maxv=g2T22, maxv=9.8 m/s

22.33 m/s, 22.31 s22.31 cos25°

Therefore, the child's top speed is 2.23 m/s.

<h3>What is Oscillation ?</h3>
  • The process of any quantity or measure fluctuating repeatedly about its equilibrium value in time is known as oscillation.
  • A periodic change in a substance's value between two values or around its central value is another way to define oscillation.

To learn more about Oscillation refer to:

brainly.com/question/28312746

#SPJ1

6 0
1 year ago
If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t seconds is s = 80t − 16t 2 . (a) what
MAXImum [283]
Max height occurs when v = 0.
v(t) = ds(t)/dt
v(t) = 80 - 32t
0 = 80 - 32t
t = 5/2

s(5/2) = 80(5/2) - 16(5/2)^2
s(5/2) = 100
Answer: 100 ft

96 = 80t - 16t²
t = 3, 2
(80 ± √256) / 32 using the quadratic equation.

v(2) = 16
v(3) = -16
4 0
2 years ago
Other questions:
  • Which elements will bond ionically with barium such that the formula would be written as BaX2? A) Nitrogen, chlorine, and sodium
    7·2 answers
  • Current flowing in a circuit depends on two variables. Identify these variables and their relationship to current.
    11·1 answer
  • How many miles is in 7 blocks?
    6·1 answer
  • 2) How many significant figures are in the number 0.0037010?<br>​
    8·1 answer
  • The lowest note on a piano
    15·1 answer
  • The unit of power of a lens is.<br>(a) Metre<br>(b) Dyne<br>(c) Dioptre​
    12·2 answers
  • According to the law of conservation of energy, mechanical energy can be changed to heat energy.
    14·1 answer
  • I need help please ASAP
    9·2 answers
  • Student 1 lifts a box with a force of 500 N and sets it on a tabletop 1. 2 m high. Student 2 pushes an identical box up a 5 m ra
    15·1 answer
  • Arm ab has a constant angular velocity of 16 rad/s counterclockwise. At the instant when theta = 60
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!