Distance traveled Definition and 176 Threads

Homework Statement An "energy bar" contains 22 g of carbohydrates. If the energy bar was his only fuel, how far could a 68 kg person walk at 5 km/h? Mass(person) = 68 kg; v = 5km/h; 22g carb = 4 Cal/1 carb = 88 Cal; P(power of man walking) = 380W (this is derived from my textbook). Homework...

Homework Statement The position of a particle along x-axis at time 't' is given by x=1+t-t2.The distance traveled by the particle in the first second is. A) 1m B) 2m C) 2.5m D) 3m Homework EquationsThe Attempt at a Solution Differentiating x wrt t we get, v=1-2t and double...

Homework Statement An airplane flies from the North Pole to the South Pole, following a winding trajectory. Place the center of the Earth at the origin of your coordinate system, and align the south-to-north axis of the Earth with your z axis. The pilot’s trajectory can then be described as...

Homework Statement An object starts from rest with an acceleration of 2.0 m/s2 for 3.0 seconds. It then reduces its acceleration to 1.0 m/s2 for 5.0 additional seconds. The total distance covered is Homework Equations The Attempt at a Solution I've tried using the formula of velocity =...

Homework Statement Boat is moving at a speed of 6 m/s Boat now accelerates at 3 m/s until it reaches a speed 12 m/sHomework Equations What is the distance traveled by the boat during this acceleration?

If we wish to find the distance traveled (not the distance from the origin) by a particle along a path ##C## defined by ##y = f(t)## and ##x = g(t)## we would use this integral: $$L = \int_C ds = \int_{t_1}^{t_2} \sqrt{({\frac{dy}{dt}})^2 + ({\frac{dx}{dt}})^2} dt$$ My question is, does this...

Homework Statement A 1kg particle is in a potential given in joules by U(x)=3x2+4x-5, where x is in metres. The particle is initially at position x=1m and moving with velocity v=4m/s in the +x direction. Find the position when the particle first comes to rest. Homework Equations dKe = Kf-Ki...

Homework Statement Estimate the average force exerted by a shot-putter on a 7.0-kg shot if the shot is moved through a distance of 3.0m and is released with a speed of 10m/s . Homework Equations F=ma Maybe the Five Equations for constant acceleration? The Attempt at a Solution So my guess is...

Hey everyone! I'm new to this site, but I figured I might as well start it off with a bang and go straight into the nitty-gritty. This is a problem from the homework assignment I've been given for tonight, and although I can sort of see that it can be solved, the right series of equations to...

Homework Statement A 60 N block in horizontal plane is pushed horizontally by force P = t^3 + 10t. The frictional resistance f = 6 - t^2. What is the distance traveled by the block after 2 seconds. Homework Equations The net force F = (t^3 + 10t) - (6 - t^2) = t^3 + t^2 + 10t - 6. The...

A tennis ball is shot vertically upwards from the ground. It takes 3.2 seconds for it to return to the ground. Find the total distance the ball traveled. I don't know how to do this problem because they only give us time, and I can make the final velocity 0 m/s if I make it the top of the arc...

Homework Statement An object falls from rest off a building, with a constant acceleration of 9.8 m/sec^2. The object travels half the building in its last 1 secs of its fall before hitting the ground. What is the height of the building? v_0 = 0 a = 9.8 Homework Equations x = x_0 + v_0 t +...

Does anyone have a link to an explanation (or could explain themselves) on how to calculate the total HORIZONTAL distance traveled by a bouncing ball? I have filmed and analysed (plotted the points) of a few trajectories, so I have the values, I just need to explain why i got those values and...

Homework Statement Suppose a particle responds to this equation of motion: s = t2 - 5t + 6 a) find the velocity at two seconds and three seconds b) find the acceleration c) find the total distance covered after 3 seconds Homework Equations s = t2 - 5t + 6 v = ds/dt = 2t - 5 a = dv/dt = 2 The...

Homework Statement A particle starts from rest and travels in a straight line for 4 s. If the particle is accelerating at a constant rate, which of the following could be the distances traveled by the particle during each consecutive second? A) 10 m, 20 m, 30 m, 40 m B) 5 m, 15 m, 25 m...

Homework Statement A car races past a pedestrian crossing at 20 m s-1 (which is well in excess of the speed limit); 10 seconds later a police car traveling at 30 m s-1 passes the pedestrian crossing in pursuit of the offender. Assuming that both cars maintain constant speeds, how far from the...

Homework Statement Suppose you have a projectile of 120g. Suppose that projectile is accelerating at 9186.05 m/s/s for 0.129 seconds, to a velocity of 12150 m/s. Factoring in a 20% drop in Velocity from aerodynamics and friction, it accelerates to roughly 9750 m/s. What distance did the...

Hey! I've been doing some research on random walks. From what I have gathered, a random walker in 1-D will have: <x> = N l (2 p - 1) σ = 2 l sqrt[N p (1 - p) ] Here, N is the number of steps, p is the probability to take a step to the right and l is the step size. I was wondering what <x^2>...

There are two electrically charged objects that are placed 6 cm away from each other. Each object has an electrical charge of +1 microColoumbs and a mass of 1 milligram. If one object is fixed in place, how far does the other go in 2 milliseconds? So I'm given the charge, distance between the...

Homework Statement I have a sphere that I want to travel from the north pole to the south pole. The route I take is winding around the sphere (instead of the obvious shortest path). My path is dictated by: ##\phi(t)=wt## ##z(t)=R-v_z t## in the negative z direction per N to S The form...

I don't understand what the logic is behind the formula for the distance traveled by an object under the influence of a constant accelerating force, namely [(Vf+Vi)/2].t How come it equals the distance? I mean, I understand that you can derive the distance based on a constant velocity by...

Homework Statement A box is sliding down an incline tilted at a 11.1° angle above the horizontal. The box is initially sliding down the incline at a speed of 1.70 m/s. The coefficient of kinetic friction between the box and the incline is 0.390. How far does the box slide down the incline...

Homework Statement A driver maintains a steady speed of 30.0 m/s for 55 min and then slows to 10 m/s for the next 5 mins. Determine the the total distance traveled and the average speed for the trip. Homework Equations a = v−v0/t The Attempt at a Solution a = 30 - 10 / 60...

if the hour hand of a clock has a length of 4 in. how far does its tip travel in 1hr and 20min?

A rough sketch of experiment. the red dots represent a side view of path traveled, F is downward force and the tool used here is a pen placing parallel to the coinHi. I have newly started to study mechanical physics. based on study, I conduct a simple experiment. But unfortunately i am unable...

I performed a lab where we needed to find the mathematical relationship between the starting speed (initial velocity) and the stopping distance. However, I'm pretty sure we recorded all the initial speeds incorrectly. Is there a way to calculate the initial speed knowing the Distance Traveled...

Homework Statement The gravitational force on a baseball is -Fg. A pitcher throws the baseball with velocity v by uniformly accelerating it straight forward horizontally for a time interval Δt = t − 0 = t. If the ball starts from rest, determine the following: (Use any variable or symbol...

Homework Statement A car accelerates from rest at 1.2 m/s^2 for a distance of 30 meters, after that it remains constant speed for 5 seconds, then it decelerates to a full stop in 4 seconds. Homework Equations d=1/2at^2 v^2=v0^2+2a(x-x0) (x-x0)=Vot+1/2at^2 The Attempt at a...

1. A dog runs back and forth between its two owners, who are walking toward one another. The dog starts running when the owners are 10.0m apart. If the dog runs with a speed of 3.0m/s, and the owners each walk with a speed of 1.3m/s , how far has the dog traveled when the owners meet? My...

Homework Statement So the question states that a hawk is flying at an altitude of 180m at 15m/s and drops its prey. The parabolic motion of the prey is defined by the function 180-x^2/45 were x is the horizontal distance traveled in meters. Solve for the total distance traveled from the moment...

1. Homework Statement A train has a mass of 5.77E+6 kg and is moving at 99.4 km/hr. The engineer applies the brakes, which results in a net backward force of 1.11E+6 N on the train. The brakes are held on for 26.9 s. What is the new speed of the train? How far does it travel during this...

. Homework Statement A train has a mass of 5.77E+6 kg and is moving at 99.4 km/hr. The engineer applies the brakes, which results in a net backward force of 1.11E+6 N on the train. The brakes are held on for 26.9 s. What is the new speed of the train? How far does it travel during...

Homework Statement A tourist takes a tour through a city in stages. Each stage consists of 3 segments of length 100 feet, separated by right turns of 60°. Between the last segment of one stage and the first segment of the next stage, the tourist makes a left turn of 60°. At what distance...

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 A car starts from rest and accelerates around a flat curve of radius R = 31.7 m. The tangential component of the car’s acceleration remains constant at at = 2.97 m/s2, while the centripetal acceleration increases to keep the car on the curve as long as possible. The...

Homework Statement I have two functions: F(t) - where F(t) is the force at a given time t m(t) - where m(t) is the mass of the object in question at a given time t Let's say that some force (in a thrust form) is applied to the object for "b" seconds. The function F(t) specifies in what...

Homework Statement (Yes this is a question about Batman.) To escape from Batman, 4 villains on motorcycles drive horizontally off the edge of a parking garage, landing in a pile of sand. The riders all have different initial speeds: v0A = 14m/s, v0B = 24m/s, v0C = 18m/s, and v0D = 19m/s...

I'm tyring to code an engine that simply adds gravity to the world. I know that gravity is a constant value added to the velocity of an object on each second, like this: Velocity = Vi * t + 0.5 * G * T2 What I'm tyring to figure out, is the distance traveled of an object falling from any...

Homework Statement So, I don't have the actual problem in front of me, but from my scribbles I can make out all the information the word problem gave. A plane flies from one place to another with the wind in 6 hours, and back against the wind, in 7 hours. The speed of the plane in still air is...

Homework Statement A train has a mass of 5 million kilograms and is traveling south at 22 m/s. If the train driver has to initiate a panic stop, how far will the train go before it comes to a halt. Use 0.08 as the coefficient of kinetic friction. m=5*106 kg v=-22 m/s μ-kinetic...

A car is traveling at 120 km/h (75 mph). When applied the braking system can stop the car with a deceleration rate of 9.0 m/s2. The typical reaction time for an alert driver is 0.50 s versus 2.0 s for a sleepy driver. Assuming a typical car length of 5.0 m, calculate the number of additional car...

An object moves with constant acceleration 3.60 m/s2 and over a time interval reaches a final velocity of 12.4 m/s. (a) If its initial velocity is 6.2 m/s, what is its displacement during the time interval? (b) What is the distance it travels during this interval? (c) If its initial...

-------------------------------- Question: -------------------------------- A 1.6 kg block is pushed into a spring with spring constant of 1.0 x 10^3 N/m. The spring is compressed a distance of 2.0 cm [0.02m], and the block is released from rest in the horizontal direction. (a) Calculate...

Homework Statement A discus is released at an angle of 42.0° with respect to the horizontal and a velocity of 28.0m/s. a)How long does it stay in the air? b)What horizontal distance does it travel? Homework Equations dv=1/2*at2 dh=Vh*Δt Kinetic equation d=Vi*t+ 1/2*at2...

Homework Statement A ceramic ball of mass m falls form rest a distance h[0] above a horizontal ceramic surface. The subsequent motion of the ball is purely vertical, bouncing ONLY on one spot on the surface. If the coefficient of restitution between the ball and surface halves after every...

A ceramic ball of mass m falls form rest a distance h[0] above a horizontal ceramic surface. The subsequent motion of the ball is purely vertical, bouncing ONLY on one spot on the surface. If the coefficient of restitution between the ball and surface halves after every bounce, find the distance...

Homework Statement A self propelled vehicle of mass m travels in a straight line. The vehicle has an engine which provides constant power P so that the acceleration 'a' at an instant is given by a=P/mv where v is the speed of the vehicle and all frictional resistance is neglected. Determine...

I had to calculate the distance a car traveled in a given time given its starting speed and acceleration. Would this formula x=Vo.t+ (Vf-Vo)/2.t Where Vf= a.t +Vo Be correct?

1. A 1000 kg aircraft going 25 m/s collides with a 1500 kg aircraft that is parked and they stick together after the collision and are going 10 m/s after the collision. If they skid for 13.2seconds before stopping, how far did they skid? Hint: Are the aircraft moving at a constant velocity...

I was given a chart with 30 second intervals starting at 0 seconds up to 15 minutes. For each interval there is a number telling you the miles/hour for that interval (car driving). I am supposed to approximate the distance traveled using the midpoint rule (Delta t = 1 minute) I took the...