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
melomori [17]
3 years ago
6

For a given velocity of projection in a projectile motion, the maximum horizontal distance is possible only at ө = 45°. Substant

iate your answer with mathematical support.
Physics
1 answer:
myrzilka [38]3 years ago
6 0

First let us imagine the projectile launched at initial velocity V and at angle θ relative to the horizontal. (ignore wind resistance)

Vertical component y:

The initial vertical velocity is given as Vsinθ
The moment the projectile reaches the maximum height of h, the vertical velocity will be 0, therefore the time t taken to attain this maximum height is:

h = Vsinθ - gt
0 = Vsinθ - gt
t = (Vsinθ)/g

where g is  acceleration due to gravity

Horizontal component x:
The initial horizontal velocity is given as Vcosθ. However unlike the vertical component, this horizontal velocity remains constant because this is unaffected by gravity. The time to travel the horizontal distance D is twice the value of t times the horizontal velocity.
D = Vcosθ*[(2Vsinθ)/g] 
D = (2V²sinθ cosθ)/g 
 D = (V²sin2θ)/g

In order for D (horizontal distance) to be maximum, dD/dθ = 0
That is,

2V^2 cos2θ / g = 0
And since 2V^2/g must not be equal to zero, therefore cos(2θ) = 0
This is true when 2θ = π/2  or  θ = π/4


Therefore it is now<span> shown that the maximum horizontal travelled is attained when the launch angle is π/4 radians, or 45°.</span>

You might be interested in
A 50 g bullet is fired into a 2 kg ballistic gel at rest on a frictionless surface. The bullet embeds itself in the gel and begi
expeople1 [14]
The answer would be 1200m/s
5 0
3 years ago
Read 2 more answers
What force could be applied to a box to make the net force in the horizontal direction of zero​
Kazeer [188]

If there is no friction, the force that moves the box forward horizontally must be matched by the same force.

If there is friction, then the force moving it forward = frictional force + the additional force you need to add.

6 0
3 years ago
How are physical and chemical changes similar?
Musya8 [376]
Physical and chemical changes are similar because matter experiences a change in state while undergoing either change.
4 0
3 years ago
Please Help Meee
g100num [7]

Answer:

answer is 24 ohm okkkkkm

4 0
3 years ago
Is it possible for an object to be going 100 miles per hour but have a velocity of zero?
Lesechka [4]
It is possible for on object to be going at 100 miles per hour, but still have a velocity. This is because the object going at 100 miles per hour has speed, which is a scalar quantity, which is defined by only magnitude, but the velocity of the object can be 0, since velocity is a vector quantity which is defined by both magnitude and direction.

Since this object only has magnitude and no direction (which is not given), then the velocity can be 0
5 0
3 years ago
Other questions:
  • John's grandfather clock has a pendulum that keeps the seconds. What does this graph say about the observed pattern of motion?
    12·2 answers
  • Which of the following characterizes a beta ray? Choose all that apply. is electromagnetic radiation is a product of natural rad
    5·1 answer
  • Which statements accurately describe the motion map?
    15·2 answers
  • After the driver first notices the obstacle, the car moves uniformly for a time interval t1−t0=t before the brakes are applied.
    12·1 answer
  • You’ve had practice calculating the grams of hydrogen gas, but it is also possible to calculate the amount of oxygen gas produce
    10·1 answer
  • What are the units for momentum?<br><br> Kg<br><br> Newtons<br><br> m/s<br><br> kg·m/s
    8·2 answers
  • What will happen to sun if the concentration of nitrogen, oxygen and carbon increases to 97 % and hydrogen and helium decreases
    7·1 answer
  • Scott is making a chart to show the difference between chemical reactions and nuclear reactions. Which part of his chart is inco
    15·1 answer
  • Future space rockets might propel themselves by firing laser beams, rather than exhaust gases, out the back. The acceleration wo
    8·1 answer
  • A stone was dropped off a cliff and hit the ground with a speed of 88 ft/s. What is the height (in feet) of the cliff
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!