Homework Statement
A catapult is capable of firing a projectile with a velocity of 25 m/s, the catapult is surrounded by a wall of height 20.4 m what is the maximum distance measured from the wall, that the catapult
projectiles are capable of hitting?
Homework Equations...
So I got the correct answers for this question but I don't understand how.
I don't understand the breakdown of the components.
I don't understand where what variables should be.
Homework Statement
A rock is projected at a cliff with initial speed of 42m/s, at 60deg above the horizontal...
Homework Statement
A projectile is thrown from a point P at an angle θ above the horizontal . It moves in such a way
that its distance from P is always increasing from its launch until its fall back to the ground. Find all the possible values of θ with which the projectile could have
been...
Homework Statement A 5-kg projectile is fired over level ground with a velocity of 200m/s at an angle
of 25◦ above the horizontal. Just before it hits the ground its speed is 150m/s.
Over the entire trip the change in the internal energy of the projectile and air is:
A. +19, 000 J
B. −19, 000 J...
Hi All,
I am struggling to work out the following:
Q: A football is kicked at an angle of 32.50 to the horizontal, with an initial velocity of 42m/s. Assume air resistance is negligible.
A) Find the Balls Velocity at max Height
B) The Balls Acceleratoin Vector at max Height
I have so far...
Homework Statement
A cannon is fired at an angle of 42 degrees, the cannon ball travels 8.9 meters in the x direction. Its hang time is 1.5 seconds. The cannon site .43 meters above the ground on a stand. If this same cannon was fired at 35 degrees, what would the hang time and the distance...
Homework Statement
Terminal speed = 43 m s-1Homework Equations
Acceleration in y direction when ball falling down: ay = - g + \alphavvy
where \alpha = K/m
and v = (vx2 + vy2)^0.5The Attempt at a Solution
Putting ay = 0 as there is no acceleration when terminal speed occurs.
However, is vvy...
I've been studying this rather interesting article about projectile motion in special relativity. The thing is, I can't understand how the author found the trajectory function. He says that he did it by solving the following parametric equation:
x(t)=\frac{cp_0cos\theta}{F}ln\left \{...
The question is in the attachment.
a) for the height i got 1.25m which you get by using displacement and acceleration. (t=20/40=0.5sec)
b) a=v/t, 10*0.5=5m/s
c) At initial point:
mgh= 0.040*10*1.25=0.5J
1/2mv^2=1/2*0.040*40^2=32J
Hits Ground:
mgh=0.040*10*0=0J
1/2mv^2=1/2*0.040*(20 or 40)^2...
Homework Statement
When a ball was thrown and caught at the same height from which it was thrown, it was measured to have traveled 12 meters in 1.3 seconds. What was the launch velocity?
The answer on the key says 11.2 meters per second.
Homework Equations
Yfinal = Yinit + Vt + 1/2...
There is a very heated debate in a forum for airsoft that I frequent. It is about what happens to ba bb pellet when it is fired from a bb gun. Two point of contention have formed.
1. A unbalanced bb, who's geometric center is disparate from it's center of mass will wobble, or oscillate on the...
Homework Statement
An object is launched from the origin. At the peak of it's trajectory, it explodes into two fragments, one of mass m and the other of mass 3m. The smaller fragment of mass m lands back at the trajectory.
How far from the origin does the second fragment land?
Homework...
Hi, I need someone to check if I did this right. As I got the q's off a PDF with no answers. Homework Statement
A projectile is shot from the edge of a cliff 125 m above the ground. It has an initial velocity 50.0 m/s 37.0° above the horizontal at the launch point. a) Determine the time taken...
Homework Statement
In Austin, Texas there is a Taco Cannon (modified T-shirt cannon) that will be spreading the joy of taco'ey goodness to festival goers. The only information I have is that it can fire 200 feet (60.96 meters).
My physics professor allows us extra credit for applying...
I'm new here, and I don't know how to do these homework problems.
1. Katie Bell of the Gryffindor Quidditch team is flying level with the Slytherin goal posts at 25 m/s at the same height as the middle hoop. She throws the ball toward the goal with and additional 15 m/s velocity at an angle...
Homework Statement
A student threw a ball horizontally out a window 8.0m above the ground. It was caught by another student 10.0m away. What was the initial velocity of the ball?
ANSWER PROVIDED: 7.16m/s
Homework Equations
dv=1/2at^2
t=vv/a
dh=vht
The Attempt at a Solution...
Homework Statement
Calculate the range if a sniper stands and raises his barrel to an angle of 30 degrees above the horizontal with the end of the barrel 2.0 m above the ground. The muzzle velocity of his rifle is 800m/s.
Known variables:
U = 800ms^-1
Uv = 400m/s
Uh = 692.8m/s
a =...
I have a projectile of 4 grams, an air tank of 120 psi, a barrel length of 80 centimetres and a barrel diametre of 8 millimetres. I would like to find the ideal speed (muzzle velocity) that the projectile would be launched at, not taking into account the pressure drop, friction atmospheric...
Homework Statement
A broad jumper begins his jump at an angle of 22 degrees from the horizontal. At the middle of the jump he reaches a height of 70.0cm
a. What is his horizontal velocity
b. What is his horizontal displacement
ANSWER: 9.16m/sHomework Equations
dh=vht
dv=1/2at^2
t=vv/a
The...
Homework Statement
Use 4 decimal places at each step to ensure accuracy.
a) A rocket is launched vertically and remains in the air for 5.10 seconds until it hits the ground. Calculate the initial velocity of the rocket. Calculate the maximum height of the rocket (positive).
vo = 24.99...
Homework Statement
For a given velocity of projection in a projectile motion, the maximum horizontal distance is possible only at ө = 45°. Substantiate your answer with mathematical support.
Homework Equations
My teacher gave us the information that u=10 m/sec, however I don't see...
Homework Statement
A grasshopper jumps 1.00 meters from rest, with an initial velocity at a 45.0° angle with respect to the horizontal. Find (a) the initial speed of the grasshopper and (b) the maximum height reached.Homework Equations
vx = v0xt = v0cos θ0
vy = v0 sin θ0 - gtThe Attempt at a...
Homework Statement
A child sitting in a tree throws an apple core from where he is perched (4 m high) with a velocity of 5 m/s [35 degrees above horizontal] and it hits the ground next to his friend.
How long before the core hits the ground?
Homework Equations
dy = vy(initial)t + 1/2at...
http://www.foothillfalcons.org/ourpages/auto/2008/10/19/62799693/Rolling%20Ball%20Lab.pdf
I am doing a lab in class where we set up a ramp on a table and measured the distance the ball travels on the horizontal part of the track. We then rolled the a marble down the ramp and did trials on...
Stuck on these homework problems.
1. A ball is launched 60 degrees above the x-axis to a helicopter that is 110 feet away and 90 feet high. What is the initial velocity required to reach it?
I know the equation we have to use is
90 = viT + .5aT^2
and that 90 = vi(cos60)T
2...
I am really stuck on these two homework problems.
1. Basically, there is a cannon which will launch a ball at 60 degrees respect to the x axis. There is also a helicopter 90 feet away from the cannon and 70 feet up. What intial velocity will the cannon ball need to be launched with in order...
Homework Statement
An object is launched and it's velocity upon landing is 12 m/s [13 degrees below the horizontal].
If I assume down is positive and up is negative, what would my given for vf look like?
Homework Equations
in the x direction: vfcostheta
in the y direction: vfsintheta...
1. I have a ball that is thrown off a 3m high cliff at 20 m/s horizontally, what is the displacement on the X axis, Vf, and tair? (assuming no air resistance)
Homework Equations
d=Vi*t+(1/2a*t2
The Attempt at a Solution
When I tried to solve this problem I couldn't really find an...
Homework Statement
These are the exact words:
A player is ready to throw a ball with max. possible velocity of 15 m/s from a height of 1.5 m above the ground. He wants to hit the wall 16 m away from him at its highest point. If the ceiling height of the room is 8 m, find the angle of...
Homework Statement
A ski-jumper comes off the bottom of the slope going horizontally at a speed of 20 ms. It starts off 3 m above a slope going downwards at an angle of 45 degrees. How far along the slope does it land.
Homework Equations
1) y= Vsinθ - (.5)gt^2
2) x= Vcosθt
3) tanβ =...
Homework Statement
Iv'e been given a graphed parabola with each x interval at 0.1000s. From this I need to find R, Tt, H, V0, a and θ.
Homework Equations
Tt= 2 (Vsinθ/g)
R= (V2sin2θ)/g
H=(Vsinθ)2)/2g
The Attempt at a Solution
From observing the graph I know:
dx and dy at every 1/10...
A golfer drives a golf ball 310.24 m down the fairway. If the ball is launched at an angle of 24.5 o to the horizontal, what is the maximum height attained by the ball during its flight?
H=1/2gt^2
Homework Statement
A stunt driver wants to make his car jump over 10 cars parked side by side below a horizontal ramp. if the horizontal distance is 80 ft and vertical distance is 6 ft., what is the minimum speed must the driver drive off the ramp?
Homework Equations
vx=v°*cos(θ)...
A long jumper projects himself at an angle for take off . His long jump measures 7.5m and he is recorded as being in the air for 0.80 s. He falls through a distance of 0.95m between his take off position (when he is standing) and his landing position (when he is lying down)
a) Calculate his...
Homework Statement
Find \vec{v}_{P} (initial velocity) for a projectile with an arbitrary\left\|\vec{v}_{P}\right\| (fixed initial speed), constant acceleration \vec{a}_{P}, and starting position \vec{p}_P so that it will intercept an object whose movement is described by the equation T(t)...
Homework Statement
A Place kicker must kick a football from a point 36.0 m from the goal. As a result of the kick, the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 20.0m/s at an angle of 53° to the horizontal.
Given:
Vi=20.0m/s...
#1:
Homework Statement
A projectile is launched at an angle of 64.9 degrees with the horizontal (x axis) at some unknown velocity. After 4.6 seconds, the object's angle of trajectory is 40.3 degrees above the horizontal. What is the object's vertical displacement at this time in meters...
Homework Statement
A cannon shot a ball at 90° and reached 2.19m high. From this I need to find Vi of that and find time, Vx, Vy, Dx, and Dy of a projectile being shot from this cannon at 35.00°.
I would just like to confirm I have done this correctly.
Dy=2.19m
θ=90.00°
Homework Equations...
Homework Statement
A projectile is fired with velocity v0 and passes through two points, both a distance h above the horizontal. The angle of the barrel of the gun is adjusted for the maximum range, find the horizontal separation of the two points.
Homework Equations
Max range for projectile...
Homework Statement
For a lab that we did I need to draw the path of a horizontally fired projectile using a graph. When I look at the equation I derived it doesn't look like it will draw the path correctly.
The Attempt at a Solution
Δx = Vox*t
T = Δx / Vox
-h = Voy*t + .5*a*t2
-h =...
Homework Statement
I've attached the problem. The answer key says the answer is (a), but I've reasoned it out to be (c). I'm not sure if the answer key is wrong, so can someone check my work? Thanks!
Homework Equations
The Attempt at a Solution
I've found that the initial vertical...
Homework Statement
A projectile is launched at 110.0 m/s at 40.0° above the horizontal off a cliff that is 250.0 m above sea level. After 4.00 s of flight, this projectile launches a second projectile at 50.0 m/s directed at 15.0° below the horizontal.
a) Find the max height of the second...
Homework Statement
A projectile is fired at an angle of 30.0 degrees above the horizontal with an initial velocity of 800.0 m/s from the top of a cliff 80.0 meters high. How far from the base of the cliff does it strikes the level ground below? Ignore friction.
Homework Equations...
Homework Statement
I have been given the Horizontal Displacement (Distance), Vertical Displacement (height), and Time (secs). How would I find total displacement? Velocity? Average Horizontal Velocity? Average Vertical Velocity?
Homework Equations
Um something with cosine and sine...
Homework Statement
An artillery shell is fired at mach 2 at an enemy encampment located at a range of 1700m. The initial position of the shell is 72 meters below the encampment, and is aimed at an angle θ.
Solve the problem for θ.
We can get the following variables/data from this:
Range =...
In the experimental setup similar to the one shown during the class demonstration, the small ball is launched from the
corner of inclined plane. When the inclination of the plane is 70deg the maximum range of the projectile is 50cm. Later
the inclination of the plane changes to new unknown...
Homework Statement
A baseball leaves a bat at 45m/s at an angle of 36.90° above horizontal. At the point of impact with the ball, the ball is 1.000m above ground level, and as it clears the fence it is back down to 11.00m above ground level. How far is home plate from the fence at this point...
Homework Statement
A speedy destroyer’s 5 inch gun fires a projectile at some angle to the horizontal. If the thing travels a distance of 23 500 m in 135 s, what was the projectile’s initial velocity?
Homework Equations
v=vi+at
v^2=vi^2+2a(s) s=displacement
s=vi*t+.5at^2
The...