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4 votes
0 answers
166 views

Why is the ratio of components of kinetic energy equal to the ratio of kinetic energy to total energy for a projectile whose range is maximized?

The launch angle $\theta$ that maximizes the range of a projectile in a uniform gravitational field is \begin{align} \theta = \arctan\left(\frac{v_o}{\sqrt{v_o^2 + 2gh}}\right), \tag{1} \end{align} ...
spinor's user avatar
  • 41
0 votes
1 answer
98 views

Angle, and maximum area of projectile motion accounting air resistance

Recently I was wondering about what will happen to the particle when subjected various elevation angle of projectile motion if we account air resistance. I want to know what the angle of elevation ...
Maghryza Milchan's user avatar
0 votes
2 answers
239 views

Angle of projection for the minimum time of flight for a given range

If a projectile has to cover a fixed range under gravity, then what should be the angle of projection for the total time of flight to be minimum? The initial and final point of the projectile are both ...
TheSpreadingChestnutTree's user avatar
0 votes
1 answer
238 views

Range of a projectile such that final and initial heights aren't equal [closed]

The formula for the range of a projectile is: $$Range=\frac{v_0^2\sin2\theta}{g}$$ However, this only works when the final height is the same as the launch height. What about when it's not? I could ...
Yash Sah's user avatar
0 votes
2 answers
694 views

How to maintain the same initial velocity in trials with projectile motion experiment?

If I would like to experiment with projectile motion to determine the relationship of launch angle and horizontal range (for instance, I would throw a ball multiple times from a height with varying ...
user avatar
1 vote
5 answers
7k views

Optimum launch angle for a projectile launched from a height above the ground [closed]

If a projectile is launched from a height greater than zero and landed to a height equal to zero, is the optimum launch angle that gives the greatest horizontal range still $45$ degrees or not? I know ...
user avatar
1 vote
1 answer
87 views

Finding the angle required to hit a stationary target [closed]

Ignoring air resistace, I have that the height of our canon is $8.2$m and the height of the target is $6.34$m. And that our initial veocity $v_0=18$m/s. I have to determine a way to find the angle ...
Undergrad2019's user avatar
1 vote
1 answer
37 views

Determine the velocity by a projectile motion [closed]

A snowball rolls from the roof of a large barn that has a downward slope of 20 °. The roof end is 15.0 m above the ground and the snowball has a speed of 6.00 m / s when abandoned from the roof. At ...
Luan Victor's user avatar
1 vote
0 answers
54 views

How to accurate scale start velocity in projectile motions? [closed]

I have projectile motion where the angle $\alpha$ is $45^\circ$, and the start velocity is $45\ \rm{m/s}$. We can then expect it to land about $206.422\ \rm m$ away; however, if I were to change/...
Korg naw's user avatar
-3 votes
1 answer
274 views

Projectile motion question : time at which velocity v becomes perpendicular to initial velocity u? [closed]

A projectile is thrown up with the initial speed u, making an angle theta (theta > 45 deg) with the horizontal. What is the time, just after which, it will be moving perpendicular to its initial ...
Kxx's user avatar
  • 53
2 votes
3 answers
883 views

Minimum velocity of projectile with air resistance not at top?

Suppose I have a projectile motion without friction, the minimum velocity is always at the top. Now I read that with friction the minimum velocity is not always at the top? Is this true? If yes, why?
Ayoub Rossi's user avatar
1 vote
1 answer
781 views

Formula - Bounce height with respect to time

I'm trying to graph a bounce with respect to time. I have these formulas: $\frac 12 mV_2^2 = mgH_2$ and $H_2 = \frac{1}{2} \frac{V_2^2}{g}$ I will have a series of $H(t)$ formulas as I know how to ...
Jeff's user avatar
  • 133
5 votes
5 answers
3k views

How does an object's motion behave if dropped from an aeroplane travelling diagonally upwards?

Imagine an aeroplane travelling with velocity $v$ at some angle $\alpha$ from East to North. A box is dropped from the aeroplane. What would the projectile of the box be? Would it be a parabola with ...
ODP's user avatar
  • 4,637
6 votes
2 answers
3k views

Find the minimum value of velocity [closed]

Find the minimum value of the initial velocity $u$ of the particle such that the particle crosses the wheel of radius $R$. Details and assumptions $R=2m$ $g=9.8m/s^2$ Neglect air resistance. All ...
MathGod's user avatar
  • 265
0 votes
3 answers
10k views

In a 2D problem with a thrown object, why is the acceleration along the x-axis equal to 0?

I'm starting Physics, and I don't understand why the acceleration along the x-axis is zero for an object thrown near the surface of the Earth. This may be problem specific, but I wouldn't know since I ...
Strawberry's user avatar