Homework Statement
A ball is thrown upward at an angle of 30° to the horizontal and lands on the top edge of a building that is 20 m away. The top edge is 5.0 m above the throwing point. How fast was the ball thrown?
Homework Equations
xcos30
ysin30
The Attempt at a Solution
Im not sure what...
1. I have a physics problem that I am having trouble understanding.
Here it is: Your lunar lander (with fuel and crew) has a mass of 14,700 kg. It is initially in a circular orbit around the Moon (i.e. Viy = 0 m/s) at an altitude of 30 km above the lunar surface. To land on the Moon, you...
Homework Statement
A balloon is attached to a 3m high pole. On the ground is a mortar that fires at a velocity of 7m/s at an angle of 55degrees. How far away does the mortar have to be to hit the balloon?
Homework Equations
y=tan(theta)x-g/(2v0cos2(theta)x2[/B]The Attempt at a Solution
I...
Homework Statement
Neglecting air resistance, if you throw a ball straight up with a speed of 20 m/s, how far will it be moving when you catch it?
Homework Equations
None
The Attempt at a Solution
Homework Statement
A 2.5kg cannonball is fired from the top of a 75m cliff at an angle of 30 degrees above the horizontal with an initial speed of 120m/s.
Homework Equations
What is the minimum speed of the cannonball?
When does the cannonball hit the ground?
What is it's speed just before it...
Hello I am currently a grade 11 student taking a 11U Physics course and we are nearly done our Kinematics unit and are finishing up Projectile motion. When i asked my teacher to explain the concept behind Projectile motion, i understood what a projectile is and what causes it (the force of...
Homework Statement
A skateboarder shoots off a ramp with a velocity of 5.30 m/s, directed at an angle of 52.0° above the horizontal. The end of the ramp is 1.40 m above the ground. Let the x-axis be parallel to the ground, the +y direction be vertically upward, and take as the origin the point...
I'm currently working a lab that requires me to find the muzzle velocity (initial velocity) of my launcher. The only information I have is the launch angle, horizontal distance, maximum height and time. Is there a specific equation that I have to use? Should I be using trig equations with...
Hello all! I'm trying to program a projectile motion question and I'm having some trouble with the physics that's involved.
The program allows you to input the starting height, initial velocity, launch angle and the distance to a wall (also a window on the wall, but that isn't important for...
Hi, I am having problems solving the last problem(see attached files), i have derived these equations which i thought should would help me solve the problem but i seem to be stuck.
U=(H3-H4)/(d4-D4)
Height at t
h and H3 are the same so i set H(initial)=0
-0,5gt^2+vsin(θ)t=-u*3*cos(θ)vt...
Homework Statement
The longest pass in history is 85.8m. Ignoring any air resistance effects, calculate the initial speed of football.Homework Equations
Vx=Vo cosΘ
x=VcosΘt
Vy=VosinΘ -gt
y= VosinΘt - 0.5gt^2
The Attempt at a Solution
I really don't know what to do here. I've looked through all...
Homework Statement
A projectile with initial velocity u making an angle A with the horizontal. Find the time t when the velocity of the projectile becomes perpendicular to its original velocity.Homework Equations
v = u + at
s = ut + 1/2at^2
v^2 - u^2 = 2as[/B]
The Attempt at a Solution
I have...
You are practicing your juggling skills by throwing a single juggling ball back and forth between level hands. The distance between your hands is 40 cm. Between catches, the ball is in the air 0.85 s. Calculate the magnitude and direction of initial velocity of the juggling ball each time you...
Homework Statement
A ball is thrown from a bridge 200 m high with an initial velocity of 34.4 m/s at an angle of 54° above the horizontal.
Homework Equations
I'm not sure... arctan Vx/Vy = x? I really don't know.
The Attempt at a Solution
(a) How high above the throwing height does...
Homework Statement
A submarine-launched missile has a range of 4330 km.
(a) What launch speed is needed for this range when the launch angle is 45°?
(b) What is the total flight time?
(c) What would be the minimum launch speed at a 22° launch angle, used to "depress" the...
Homework Statement
http://postimg.org/image/7yfw1zpq1/
http://postimg.org/image/7yfw1zpq1/ <-Question
The Attempt at a Solution
I don't really understand the question but ill try.
I need to first find the highest angle at which the projectile will clear the peak.
At Peak:
Sy...
Basically..I have a canon that shoots a pingpong ball at 30m/s from any angle between 0-90
I've derived all my equations as can be seen below:
So the velocity equations are:
Vx(t) = (Vxo)e^(-kt/m)
Vy(t) = (Vyo+gm/k)e^(-kt/m) − gm/k
Integrate these to get X and Y as functions of...
Homework Statement
In the figure, you throw a ball toward a wall at speed 34.0 m/s and at angle θ0 = 38.0˚ above the horizontal. The wall is distance d = 20.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and...
Homework Statement
At the instant a horizontally held rifle is fired over a level range, a bullet held at the side of the rifle is released and drops to the ground. Which bullet, the one fired downrange or the one dropped from rest, strikes the ground first?
Homework Equations
None
The...
Is this a correct derivation of a relation between displacement of a particle with its terminal launch angle, velocity, and environmental gravity?
Let the velocity of the projectile be denoted V_n. Let the terminal side of the launch angle with respect to the ground be denoted \theta. The...
Homework Statement
A particle P is projected from the origin with initial speed 5 m/s and projection angle theta. At time t = 0, when P is at the origin, another particle Q begins to move on the
(horizontal) x-axis with initial speed 15/4 m/s and constant acceleration a = 3g/4 m/s^2...
Homework Statement
Derive:
R=v^2sin2theta/g
Show that R=V0^2/g
Homework Equations
The Attempt at a Solution
This is my first time to take up physics so I have no idea at all on how to do this, to be honest.
Homework Statement
Model the trajectory of a projectile with an initial velocity v_0 that is subject to the force of drag.Homework Equations
F_{\text{d}} = \frac{1}{2}C_{\text{d}}\rho\text{A}(v(t))^2
v_x(t) = v_{0x} + \int_{t_0}^t a_x(t')\mathrm{d}t'
The Attempt at a Solution
I really...
Homework Statement
Homework Equations
The Attempt at a Solution
Maximum height attained by first projectile H = u2sin2θ/2g = 15m
If acceleration vector is assumed a = axi+ayj , then at H √(ax2+ay2) = 50 .
Now I need to use the given conditions to come up with another...
Mr. Smith’s dog Rosie takes a flying leap off his bed. The bed is 1m high, and Rosie leaves with a muzzle velocity of 5 m/s [40° above the horizontal].
Sometime after Rosie leaves the bed, Mr. Smith (who is 5m away from the bed) throws a doggie treat to Rosie from ground level with a muzzle...
Homework Statement
A canon fires a projectile at a speed of 100 m/s at angle of 20 degrees. (a) what is the radius of curvature of the projectile at its highest altitude? (b) What is the radius of curvature of the path .5 seconds after firing?
Homework Equations
Velocity vector = s'ur...
1. Homework Statement : A gun is fired from a moving platform and the ranges of the shot are observed to be R and S
when the platform is moving forward or backward respectively with
velocity V. Prove that the elevation of the gun is tan(inverse)[g(R - S) ^ 2 / 4V ^ 2(R + S)]
2. Homework...
Homework Statement
I am wanting to calculate the Displacement of a projectile when it is launched at various angles, however all I have is the Initial velocity and the acceleration due to gravity.
The Attempt at a Solution
first attempted to approach this by calculating the horizontal...
Attempt solution
Y=(vsinø)t-0.5gt^2
4=(vsinø)t-4,9t^2
But there is 3 variables!
Another eq is
X=(vcosø)t
6=(vcosø)t
But i did not found any away to solution
Homework Statement
In a friendly game of handball, you hit the ball essentially at ground level and send it toward a wall 4.6 m away. The ball is hit with a speed of 20 m/s at 40 degrees above the horizontal.
a.) At what height does the ball strike the wall?
b.) Calculate the speed of...
Homework Statement
I don't have the exact problem statement but I remember the important data.
I have to find the value of ##x## in the figure such that the projectile reaches to its original position. The initial speed is ##20\sqrt{2}\,m/s## at an angle of ##45^{\circ}## with the...
Homework Statement
A cannonball is fired with initial speed v0 at an angle 30° above the horizontal from a height of 38.0 m above the ground. The projectile strikes the ground with a speed of 1.3v0. Find v0. (Ignore any effects due to air resistance.)
Homework Equations
Time= 0=v0T-½gT2...
Homework Statement
A woman throws a ball at a vertical wall d = 3.4 m away. The ball is h = 1.7 m above ground when it leaves the woman's hand with an initial velocity of 11 m/s at 45°. When the ball hits the wall, the horizontal component of its velocity is reversed; the vertical component...
I'm working on a little project where I want to plot the motion of a projectile with air resistance. The air resistance can be assumed to be proportional to the velocity squared.
F_{f}=-Bv^{2}
F_{f,x}=F_{f}\frac{v_{x}}{v}, \ \ F_{f,y}=F_{f}\frac{v_{y}}{v}
where B depends on the height...
Hi every one
Homework Statement
If (R) is to be the horizontal range of a projectile and (h) its maximum height prove that the initial velocity is:
[tex] \sqrt{(2g(h+\frac{R^2}{16h}))} [\tex]
Homework Equations
[tex]R=\frac{v_0^2 sin(2\theta)}{g}[\tex]
[tex]h=\frac{v_0^2...
Homework Statement
This is a review question from the test I did few months back, and I need to review it for my finals.
A ball is thrown from the top of a building 35m high with an initial speed of Vi at an angle 30° above the horizontal. The ball strikes the ground at a point 80m from...
Homework Statement
A regular hexagon of side a=10√3 m is kept at horizontal surface as shown in the figure. A particle is projected with velocity V m/s at an angle θ from point k such that it will just touch the all four corners B,C,D,E. If O is the centre of hexagon and x-axis is parallel to...
I have literally tried everything in my power to find the answer to these and i keep getting stuck. I really nee to find the answer so i can grasp the concept..
Homework Statement
If you can hurl a ball so that its initial speed is 30m/s, what is the widest river you can throw it across?
Homework Equations
The range equations,
t=2(vi)(sintheta)/g
d=visin2theta/g
The Attempt at a Solution
I know you have to use components so what I...
Homework Statement
A person jumps 8.9m. The person's takeoff speed was 15m/s. What is the angle relative to the ground at takeoff?
Homework Equations
The Attempt at a Solution
I found t using the kinematic formula to be 0.5s using the formula. d=vit+1/2at^2. Can someone tell...
If the only variable that is changed is mass. What equation would I use to find the distance an object travels that is shot horizontally at a velocity (v) and I would like to be able to calculate the change in velocity?
Homework Statement
A projectile launched straight up at 10 m/s will be in the air for:
A) 1 s
B) 1.4 s
C) 2 s
D) 5 s
Homework Equations
Not sure.
The Attempt at a Solution
I'm honestly not sure what to make of this problem. Since it's freefall, it sounds like we could...
Homework Statement
A man stands on the roof of a building of height 14.1m and throws a rock with a velocity of magnitude 29.3m/s at an angle of 29.9 degrees above the horizontal. You can ignore air resistance.
1) Calculate the maximum height above the roof reached by the rock.
2)...
Homework Statement
A man tosses object with initial velocity of 20 m/s into a room, and is 2.0 m above the ground. The room is 10.0 m above the ground.
In a provided diagram, the distance from man to room horizontally is 31.8 m.
I am required to solve for the angle of the object as it...
Homework Statement
A person kicks a soccer ball with an intial velocity directed 53 degrees above the horizontal. The ball lands on a roof 7.2 m high. The wall of the building is 25m away, and it takes the ball 2.1 seconds to pass directly over the wall. Calculate the intial velocity of the...
Homework Statement
A projectile is launched at a 60° angle above the horizontal on level ground. The change in its velocity between launch and just before landing is found to be Δv→ = v→landing _ v→launch = -20 y^ m/s .
What is the initial velocity of the Projectile ?
What is its final...
Homework Statement
My problem consists of two parts, the first being how far from the top of a cliff will a projectile (fired from a cannon) land with a velocity of 120 ms^-1, fired horizontally from cliff height of 150m.
The second part is where I am struggling, the cannon is now aimed 45°...
Homework Statement
At what projection angle will the range of a projectile equal its maximum height?
Homework Equations
Big 5
vf2= vi2 + 2ad
The Attempt at a Solution
So I attempted to solve this question by randomly subbing in equations into each other.
If i draw out a diagram to solve...
Homework Statement
You're given a cannon that allows you to fix the initial velocity and the shooting angle of a projectile that should be embedded on the side of a mountain l meters away.
What is the minimum velocity for you to embed the projectile at an angle of \frac{\pi}{4}?
The Attempt...
Hey all! I've tried solving this problem every way I could think of and I wanted to see if I'm doing this even remotely right. Mind helping me out?
Homework Statement
Problem: A mountain climber is stranded on a ledge 30 m above the ground. Rescuers on the ground want to shoot a projectile to...