2d motion Definition and 66 Threads

Vertical components: dy = 0m ay = 9.8m/s^2 [down] t = 1.34s V1y = required V2y = 0 i first tried to find V1y dy =vi t + 1/2 a t^2 and got V1y = -6.566 then i solved for time of flight dy =vi t + 1/2 a t^2 0 = -6.566t + 4/9t^2 and for 1.34 seconds does this mean the time of flight is the...

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Ive been reading University physics by roger freedman, I’m on section 3 motion in 2d. I can solve most of the problems ag the end of the chapter, or at least understand the solutions. But there is a small extra section called challenge problems. There’s only 3 but I found them very difficult...

I have attempted but I don’t get anywhere.

How the heck the bicycle reach from point A to point B with that velocity vector directions?

Homework Statement A baseball is hit into the air, nearly vertically, with a speed of 27 m/s. When it comes down, the ballplayer catches it in his glove. Air resistance (drag) is actually fairly important for a baseball in flight, but for now let’s assume it is negligible. (a) How high does...

Homework Statement A rock is thrown horizontally off a 56 m high cliff overlooking the ocean. And the sound of the splash is heard 3.60 seconds later. Speed of sound in air is 343 m/s. What was the initial velocity of the rock? 2. Homework Equations The Attempt at a Solution Okay so I know...

Homework Statement A car moving due south at 20.0 m/s enters a highway cloverleaf. The car will exit the cloverleaf to merge with westbound traffic traveling at 29.0 m/s. The time between entering the cloverleaf and exiting to merge with westbound traffic is 20.7 s. What is the magnitude of...

1. Homework Statement how to get R=Vi 2 sin2θ/g y=x*tanθ-[x2*g]/[2(Vi*cosθ)2] Homework Equations Vy=Vi*sinθ-gt y=Vi*sinθ*t-1/2gt^2 Vx=Vi*cosθ x=Vi*cosθ*t The Attempt at a Solution I use this formula to find the expression for t Vy=Vi*sinθ-gt gt=Vi*sinθ t=Vi*sinθ/g I substitute it into...

Homework Statement For an upcoming test on 2D Motion, my Physics Teacher recommended that, instead of memorizing close to a dozen equations, he suggested we derive what we can from the main equations he showed us. So people in my class decided to split up deriving equations to bring them...

Homework Statement A test rocket is fired from rest at point (A) along (b) a 200m incline, accelerating 1.25 m/s2 Given: b = 200 m, the angle at point A is 35°, a = 1.25 m/s2 a) Find the maximum height above the ground. b) Find the greatest range. Homework Equations If it was a constant...

A skier 58.0kg coasts down a 25.0 degree uniform slope. A kinetic frictional force of 70.0N opposes her motion. At the top of the slope her speed is 3.60 m/s. What is her final speed at a distance 57.0 metres down the slope? Kinetic Energy = 1/2mv^2 V=Vi+at^2 F=ma So far I decomposed the...

Homework Statement Firing something at 40m/s at angle X, it lands 65meters away, give 2 angles it could be.. (Assume g=10m/s^2)(Fired at y=0)(No air resistance) Homework Equations D = v^2/g sin(2x) [/B] The Attempt at a Solution d= v^2/g sin(2x) 65 = 40^2/10 sin(2x) 650/1600 = sin(2x)...

These are the papers it's based off of.. http://mredwards.net/Files/Problem%20D%20Horizontal%20Projectiles.pdf http://www.mredwards.net/Files/Problem%20E%20Projectiles%20from%20an%20angle.pdf My class uses g for gravity and delta x, vx etc...

Homework Statement A 42.5kg person is going down a hill sloped at 42.0 degrees. The coefficient of kinetic friction between the snow and skis is 0.180. How fast is the skier going 4.56 seconds after starting from rest? Homework Equations Is ffkmax equal to net force? The Attempt...

Homework Statement A stone is thrown horizontally from a height h above the ground (h > 0). The stone hits the ground after having traveled a horizontal distance x (x > 0). What is the expression for the initial speed v of the stone? Neglect air resistance. (please use the variables x and h...

Homework Statement A ball rolling with an initial velocity of 40m/s[W] undergoes an acceleration of 5.0m/s2[N] for a period of 6.0 seconds. What is the displacement of the ball in the 6.0 seconds? The Attempt at a Solution Apparently the answer is 260m[W21°N] Please help!

A soccer player kicks a rock horizontally off a cliff 38.2m high into a pool of water. If the player hears the sound of the splash 3.13s later, what was the initial speed given to the rock? Assume the speed of sound in air to be 343m/s What I don't understand here is, determining the...

Homework Statement A ball is kicked with initial velocity 40 m/s at an angle of 37 degree above the horizontal. What is the time (in seconds) needed to reach the maximum height? Homework Equations Y-axis h= Voy t - 0.5 g t^2 Vy= Voy - g t Vy^2= Voy^2 - 2 g h X-axis d= Vox t Vx=...

where can I find them? all forms to find out any missing quantity?

Homework Statement An airplane is flying 100m/s (N20E) according to the pilot, but is in a wind that is blowing 40 m/s (S10E). What is the plane's real velocity? Homework Equations Pythagorean Therom Cosin and Sin Laws Component Method The Attempt at a Solution Okay, I think I...

Homework Statement Sam Walks: 100m (S30W) + 200m (N30E) + 50m (N) Find sam's displacement using a diagram as well as mathematically.Homework Equations b(sq) = a(sq) + c(sq) - 2acCOSB a(sq) + b(sq) = c(sq) The Attempt at a Solution Okay I drew my graph, Scaled it 1cm = 50m So I first drew 100m...

Homework Statement wiley e coyote is out once more to try to capture the elusive roadrunner. the coyote wears a pair of acme jet powered roller skates, which provide a constant horizontal acceleration ac. the coyote starts off at rest D meters from the edge of a cliff at the instant the...

°Homework Statement A pilot wishes to fly to city A, 800km north of the present location. The plane is capable of an air velocity of 300km/h. There is a wind blowing 120 km/h [S40°W] a) if she flies directly to city A, what will be her observed ground velocity? b) what should her orignal...

A football is kicked at ground level with a speed of 19.8 m/s at an angle of 33.8° to the horizontal. How much later does it hit the ground?

Homework Statement A person walks 20m [N20(degrees)E], then 120m [N50(degrees)W], then 150m[W], and finally 30m [S75(degrees)E]. Find the person's final displacement. Homework Equations Is my solution correct? The textbook answers are 230m[N23(degrees)W] What did I do incorrect...

Homework Statement The position vector of a particle is given by r= ihat(2t^3-21t^2+60t+10) +jhat(3/2)(t^2-10t+9) At what time, if any, is the velocity of the particle zero (ie what time is the particle instantaneously at rest) Homework Equations The Attempt at a Solution...

I have created a very simple numerical simulation that models an object being thrown off a building at some angle, and when the object hits the ground, the simulation stops. Now I want to add in collision detection. How would I go about doing this? What would be the equations needed to compute...

Homework Statement In class we had a 2D with angles and components question. Homework Equations To find the answer I eventually got to the x=xo[SUB]+v[SUB]ot+1/2at2 equation and came up with ***-4.9(28/37cosx)2+28tanx-3*** The Attempt at a Solution But once I got to this point I...

Homework Statement A firefighter, 50.0 m away from a burning building, directs a stream of water from a fire hose at an angle of 40.0° above the horizontal, as in figure. If the speed of the stream is 30.0 m/s, at what height will the stream of water strike the building? Homework...

I was just wondering is there any major difference between the projectile motion of a 2D object vs the projectile motion of a 1D object or just a point. For example in a 2D world if someone just threw a square, would the calculation of the trajectory be a lot more complicated then calculating a...

Please help As a science fair project, you want to launch an 700 g model rocket straight up and hit a horizontally moving target as it passes 29 m above the launch point. The rocket engine provides a constant thrust of 15.0 N. The target is approaching at a speed of 15 m/s. At what...

Homework Statement A rocket is launched at an angle of 53 above the horizontal with an initial speed of 75 m/s. It moves for 25s along it's initial line of motion with an overall acceleration of 25 m/22. At this time its engines fail and the rocket proceeds to move as a freebody. a) What...

Homework Statement I need to be able to get a equation to figure out the initial speed as an object leaves the origin, and I don't understand what exactly I am suppose to treat these as? Basically they are showing us vectors, Vo being velocity vector, and Vox and Voy being x and y components...

Homework Statement A baseball player friend of yours wants to determine his pitching speed. You have him stand on a ledge and throw the ball horizontally from an elevation 3.00 m above the ground. The ball lands 30.0 m away. A) What is his pitching speed? B) As you think about it, you’re...

Homework Statement A small sphere is dropped from rest at a height 'h' above a plane inclined at an angle θ to the horizontal ( < 90degrees ). Given that the sphere loses no energy on impact, show that the distance down the plane between this impact and the next is 8hSinθ. Homework...

Homework Statement In a Fourth of July celebration, a firecracker is launched from ground level with an initial velocity of 25.0 m/s at 30' from the vertical. At its maximum height it explodes in a starburst into many fragments, two of which travel forward initially at 20.0 m/s at \pm53.0'...

An object is projected horizontally with an initial velocity of 3.0m/s A) When will the vertical displacement be 5.0m B) What will the horizontal displacement be at this time Have difficulty's with A

don't get this 2d motion problem?? Homework Statement a player kicks a football at an angle of 40.0 degrees above the horizontal with an initial speed of 14.0 m/s. Air resistance may be ignored. A second player standing at a distance of 26.0m from the first(in the direction of the kick)...

Homework Statement A dart player throws a dart horizontally at a speed of 11.8 m/s. The dart hits the board 0.31 m below the height from which it was thrown. How far away is the player from the board? x y vi= 11.8 vi= 0 a=0 a= 9.81...

Homework Statement A bird watcher meanders through the woods, walking 0.30 km due east, 0.65 km due south, and 2.25 km in a direction 37.0° north of west. The time required for this trip is 3.00 h. Determine the magnitude and direction (relative to due west) of the bird watcher's (a)...

Homework Statement From the top of a tall building, a gun is fired. The bullet leaves the gun at a speed of 340 m/s, parallel to the ground. As the drawing shows, the bullet puts a hole in a window of another building and hits the wall that faces the window. (y = 0.48 m, and x = 6.0 m.) Using...

Homework Statement A ball player hits a home run, and the baseball just clears a wall 8.00 m high located 122.5 m from home plate. The ball is hit at an angle of 39.9◦ to the horizontal, and air resistance is negligible. Assume the ball is hit at a height of 1.2 m above the ground...

Homework Statement In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 4.8 m away. After a running start, he leaps at an angle of 11◦ with respect to the flat roof while traveling at a speed of 5.4 m/s. The acceleration of...

Homework Statement An object is shot from the origin with a velocity of 40.0 m/s at an angle of 55.0 degrees above the horizontal. What is the location of the object 3.00 seconds later? Homework Equations All 2D motion equations - too many to list Ex: V_x = v_0x + a_x t V_y...

Homework Statement A Nordic jumper goes off a ski jump at an angle of 10.0 degrees below the horizontal, traveling 108 meters horizontally and 55.0 meters vertically before landing. (a) ignoring friction and aerodynamic effects, calculate the speed needed by the skier on leaving the ramp...

Homework Statement Calculate the speed of the minute hand on the clock (I solved with the assumption of the minute hand being the radius) with the length of 25 cm. How many degrees did the minute hand move through from 12" point to 2" point? What is the average acceleration...

Homework Statement An arrow is fired with a horizontal spped of 89 m/s directly at a target 60 m away. When it is fired, the arrow is 1 m above the ground. How far short of the target is it when it strikes the ground? Homework Equations D = vt D = Vit + (1/2)at2 Vf = Vi + at Vf2 = Vi2 + 2ad...

Homework Statement A baseball is hit at a 45 degree angle and lands at a distance of 98 meters away. What was the initial velocity of the ball? Homework Equations x=ViT - 1/2gt^2 The Attempt at a Solution i havnt made an attempt considering i am extremely lost and do not know...

On a spacecraft two engines fire for a time of 505 s. One gives the craft an acceleration in the x direction of ax = 5.10 m/s2, while the other produces an acceleration in the y direction of ay = 7.30 m/s2. At the end of the firing period, the craft has velocity components of vx = 3610 m/s and...