Distance traveled Definition and 175 Threads

An object moves along the x – axis and the position of the object at is given by x(t) = 2 + (3/pi) - (3/pi)(cos(pi/3)t) How do I find the total distance traveled by the object over the time interval 0≤t≤4.5 any help pls? I don't even know where to start. PLEASE!

Homework Statement What formula or formulas are used to calculate the distance traveled by the robot given the radius of its wheel/tire (R) and the degrees through which the motors rotated (d)? Use n to represent the number of rotations made by the motors. Show all steps and formula(s)...

A ball is thrown up onto a roof, landing 3.70s later at height h = 21.0m above the release level. The ball's path just before landing is angled at θ = 54.0˚ with the roof. Find the horizontal distance it travels. Answer: 33.5m Related Equations: Xf = Xo + 1/2(Vf + Vo)t...

Firstly, I've been going over your forums for about fifteen minutes, and am taken aback by the intellect I have come across. I never took physics, but wish I had. Right out of high school, I went into construction, and never got the chance to go to college. I was always good at everyday Algebra...

so if A is the acceleration and T is time and D is distance then D = A * T^2 right?

Homework Statement I need to find the distance traveled by a trebuchet. We were assigned to design and create one to launch a water balloon of roughly a mass of \approx50 grams. We are not allowed to test it, but must make a prediction of how far it would travel by using physics. The...

Homework Statement We are given an amount perfume, that has an energy level amounting to 1200 joules. Using this as the fuel, i need to build a potato cannon. How can i build the cannon to maximize the distance the potato travels when shot with this amount of fuel? Homework Equations...

Homework Statement Two trains, each having a speed of 25 km/h, are headed at each other on the same straight track. A bird that can fly 60 km/h flies off the front of one train when they are 57 km apart and heads directly for the other train. On reaching the other train it flies directly back...

Homework Statement suppose the velocity of a point moving at time t, in seconds along a coordinate line is v(t)= (t+3)/(t^3+t) ft/sec. how far does the point travel during the time interval [1,3]. Homework Equations The Attempt at a Solution im not sure what to do, i used ∫3...

Homework Statement A steel ball is released at the surface of the ocean and it takes 64 minutes for it to hit the bottom. The balls downward acceleration is a=0.9g-cv where g=9.82 m/s2 and c = 3.02s-1 and v is the speed. What is the depth of the ocean where the ball was released? Homework...

Homework Statement At the Aircraft Landing Dynamics Facility located at NASA's Langley Research Center in Virginia, a water-jet nozzle propels a 46,000 kg sled from zero to 400 km/hour in 2.5 seconds. Assuming a constant acceleration for the sled, what distance does it travel during the...

Homework Statement A person driving her car at 51 km/h approaches an intersection just as the traffic light turns yellow. She knows that the yellow light lasts only 2.0 s before turning to red, and she is 30 m away from the near side of the intersection (Fig. 2-29). The intersection is 15 m...

First off, please excuse my general lack of physics knowledge, it's been 10 yrs since one year of it in high school ... but I can usually follow along pretty well once pointed in the right direction. I've been curious about the relationship of wheel weight and diameter in relation to distance...

Homework Statement A flywheel rotates at a rate of 20 rpm. A motor provides a constant angular acceleration so that 30 s later it turns at a rate of 70 rpm. There’s a tiny splotch of paint on the flywheel, located 0.10 m from its center. During the acceleration period, what is the angular...

Homework Statement Lets say we have the velocity equation for a particle v(t) = at^3 - bt^2 + ct^ - d with t between 0 and 5 So, to find its displacement I have to integrate v(t) from 0 to 5, and I understand why. But if I want to find the total distance traveled, I must find where...

Two skaters of mass 9.2 kg and mass 3.0 kg stand 8.7 m apart, each holding the end of a rope stretched between them. If each skater pulls himself along the rope until they both meet how far (in m) has the person with the mass of 9.2 kg travel before stopping. Assume that friction is...

Homework Statement Given y = 156 - (x - 40)2/60. x = 0 and x = 85 Find distance traveled Homework Equations Arc Length S = integral of square root of ( y' )2 The Attempt at a Solution Doing this I get the trig sub tan(t) = (x - 40)/ 30 (Told by teacher to use this instead of...

Homework Statement A police car traveling at 46m/s is passed by a speeder traveling at 72 m/s. Precisely 1s after the speeder passes, the police car accelerates after him. He catches him 7s later. how fast is the police car going as he catches him? how far did the speeder get before being...

Homework Statement A block with mass m=18.4 kg slides down a ramp of slope angled 43.5 deg with a constant velocity. It is then projected up the plane with a Vo=1.55 m/s. How far does it go before stipping? Homework Equations Fnet=ma Fg + Ff=Fnet Ff=uk(Fn) Fn=mgcos(theta)...

Homework Statement An object is shot (from a cannon) at an angle of 33 degrees and landed 85 m away. Calculate the magnitude of the initial velocity (Hint:Look at the x direction and solve for Vox) Homework Equations Other questions I must answer. If you have time, help with these would...

Homework Statement A car starting from rest moves with a constant acceleration of 1.8 m/s2 for 10 s, then travels with a constant speed for another 12 s, then finally slows to a stop with a constant deceleration of 1.9 m/s2. How far does it travel? Homework Equations The Attempt at...

Homework Statement A boat heading south initially with a speed of 10 m/s has a constant acceleration of a= (10,5,10) m/s^2 What is the velocity, speed, position and distance traveled after 30 minutes? u=10m/s a=(10,5,10) t=30 min = 1800 Homework Equations v = u + at The Attempt at a...

okay guys I've been looking for ages and i just can't find anything that will help me with finding a distance that will be travel by a rubber band powered car. I've been playing around with kinetic energy= potential energy but i can't seem to get anywhere. Any help will be greatly appreciated...

Homework Statement An object is launched at a speed of 10.1km/s. What is the maximum height of this object. The answer is within 10% of 2.88x10^7. and should be relatively close to it. Homework Equations radius of earth=re. I believe 9.8*((re)/re+h)^2=gravity is relevant. a=g...

Homework Statement An airplane leaves the airport when there is an Easterly wind (i.e a wind blowing from direction East) of speed 43 km/h. If the plane starts out directly above Taupo with an airspeed v=140 km/h, pointing in a direction θ = 26° East of North, how far is it from Taupo after...

Homework Statement if the flow rate of a liquid from a 10mm hole in a storage tank holding 5m of a liquid with a density of 490 kg/s, is 0.207 kg/s how far will this stream travel before it hits the ground and will it be contained by a dike 1 m away that is 1 m highHomework Equations Q=pAV =>...

If s(t) = 2t^3 - 21t^2 + 60t is the position function of a particle moving in a straight line, would you be able to find its total distance traveled in, say 3 seconds, by finding s(0), s(1), s(2), s(3), and calculating the absolute value between each of them and then summing those values, as...

Homework Statement Henry gets into an elevator on the 50th floor of a building and it begins moving at t=0s. The figure shows his apparent weight over the next 12 seconds. Part A: Is the elevator's initial direction up or down? Explain how you can tell. Part B: What is Henry's mass...

Hey, my question is what would be the equation for figureing out distance traveled per second when accelerating from 0 at something like 12m/s2

Homework Statement A hummingbird has a mass of about 1.7 g. Suppose a hummingbird does 0.15 J of work against gravity, so that it ascends straight up with a net acceleration of 1.2 m/s2. How far up does it move? Homework Equations The Attempt at a Solution I don't know what to...

Is it correct to say that following? To calculate the distance traveled from the origin after 1 hr when the speed: a) is a constant. Use multiplication. b) depends on time. Use intergration. c) depends on distance from the starting point. Use differential equations.

Homework Statement Two bodies, A and B, arrive at the base of a frictionless inclined plane with equal momenta of magnitude p. If massb = 3massa, the ratio of the maximum distance that B travels up the plane to the maximum distance A travels up the plane is... with choices A) db = d a B)...

Homework Statement a car traveling due east on a straight road and accelerates at a constant rate for 10(s) increasing its velocity from rest to 40 m/s. It then travels at a constant velocity for 5s and accelerates at a steady rate for the next 5s to a velocity of 20m/s. It travels at this...

Homework Statement Sally travels by car from one city to another. She drives for 30.0 min at 52.0 km/h, 35.0 min at 48.0 km/h, and 23.0 min at 50.0 km/h, and she spends 10.0 min eating lunch and buying gas. Homework Equations avg. speed= distance traveled / time of travel The...

Homework Statement Here is a link to the graph. http://www.webassign.net/pse/pse6_p2-12.gif Find the distance traveled in the first 20 seconds. Homework Equations Integral once = velocity Integral twice = position I attempted to use the following formula: a = [ 2 ( x -...

Homework Statement Sally travels by care from on city to another. She drives for 30.0 min at 80.0 km/h, 12.0 min at 105 km/h, and 45.0 min at 40. km/h, and she spends 15.0 min eating lunch and buying gas. a.) Determine the average speed for the trip. b.) Determine the total disance traveled...

A car traveling with a constant speed of 80 km/h passes a stationary motorcyle policeman. The policeman sets off in pursuit, accelerating to 80 km/h in 10.0 s and reaching a constant speed of 100km/h after a further 5.0 s. At what time will the policeman catch up with the car? I am stuck...

an object weighing 3.0 kg has an initial velocity of 3.33m/s up a 37 degree incline. how far will it go before it stops? you don't have to do the work, I just don't know what equations to use to solve it.

Homework Statement Use your reaction time to determine how far a car you are driving at 100km/h would travel between the time you see an emergency and the time you slam on your brakes. Homework Equations The Attempt at a Solution Given: v = 100km/h d = ? t = 0.27 s d = v*t...

Homework Statement (I can't seem to get the super and subscripts to work so I apologize if this looks ugly.) The position of a particle moving along the x-axis is given at time t by: x = C0 + C1t + C2t^2. At time t = 4.0s the acceleration of the object is a = -20 m/s^2 and that the object...

Hi I need help solving this problem. Thank you. 1. Homework Statement [/b] Given: assume g = 9.81 m/s2, and friction can be ignored. A ball is thrown into the air at speed 43 m/s, at an angle of 53.7 o to the ground. The ball lands at the same elevation as it was thrown. a) Find...

Homework Statement Not sure where to start, but I've read through many posts trying to figure out which formulas I need to use to solve for the following problem. I'm trying to build a simple golf game that calculates the distance traveled, for example: What is the distance a golf ball...

I am currently doing the self-test in Ch1 of Basic Physics: A Self-Teaching guide, by Karl F. Kuhn. I am trying to teach myself the basics of physics so I can be ready for March's session of physics class. I had a go at it for 2 days and realized i was going to fail unless I did something to be...

Homework Statement A boy walks at an average speed of 3 miles per hour to his school, and then runs back at an average speed of 5 miles per hour along the same route. The total travel time is 1 hour. What was the total distance traveled? The Attempt at a Solution OK it's a practice...

Hi guys new to the forums and have a quick question about x-rays! I'm guessing that if i know how far an x-ray is traveling in atmosphere from where it is generated before being absorbed (by using a simple x-ray detector) i should be able to calculate the approximate energy of that x-ray...

Homework Statement After a bobsled race, the sled and riders have been partially slowed down up in an icy incline, but they need to be brought to a stop. This happens on a portion of track inclined at 30 degrees that has a coefficient of kinetic friction of 0.60. The sled enters the incline at...

Coeffiecient of Kinetic Friction problem? (Shuffleboard and Distance traveled) Homework Statement A shuffleboard disk is accelerated to a speed of 5.8m/s and released. If the coefficient of kinetic friction between the disk and the concrete court is 0.31, how far does the disk go before it...

A 4.0 kg block has a speed of 9.00 m/s at X. What is the maximum distance, d, traveled by the block. Ignore friction. There is a angle of 35 degrees. ___ I know this a very simple problem, and I have solved problems similar to this in my honors physics class; however, I have not solved...

Homework Statement A car accelerates from 18 m/s to 45 m/s in 12 s. Assume constant acceleration. What was its acceleration? How far did it travel? I know that the acceleration is 2.25 m/s/s but I'm not sure how to go from acceleration to distance traveled. Homework Equations I'm...

Homework Statement At a local hockey rink, a puck with a mass of .12kg is given an initial speed of 5.3m/s. If the coefficient of friction is .11, what distance does the puck slide before coming to rest? Homework Equations F(net)=ma, F(friction)=Coeff. x F(normal) The Attempt at a...