Constant acceleration Definition and 340 Threads

Im wondering if somebody can show me how to derive the five equations used to solve these types of problems. I've been unsuccesful in finding it on the net and am hoping someone on here can give me some insight. Thanks in advance.

Homework Statement A train pulls away from a station with a constant acceleration of 0.40 m/s2. A passenger arrives at the track 6.0 s after the end of the train has passed the very same point. What is the slowest constant speed at which she can run and catch the train? Homework Equations X...

Homework Statement If an object moves with constant (non-zero) acceleration, then which of the following statements are true? The velocity must continually change by the same amount each second The acceleration must be constant The velocity must continually change by varying amounts...

Homework Statement When a high-speed passenger train traveling at 158 km/h rounds a bend, the engineer is shocked to see that a locomotive has improperly entered onto the track from a siding and is a distance D = 699 m ahead. The locomotive is moving at 27.2 km/h. The engineer of the...

Ok, I've been running over this problem for about an hour now, and I can't figure out where I'm going wrong. I'm a complete newb, so I'm sure it's something stupid, but I could use the help. Homework Statement An object with an initial velocity undergoes constant acceleration. Position...

Homework Statement A ball is dropped from the top of a 50.0 rm m-high cliff. At the same time, a carefully aimed stone is thrown straight up from the bottom of the cliff with a speed of 21.0 m/s. The stone and ball collide part way up. Homework Equations v = v0+at x = x0 + v0t +...

1.You are arguing over a cell phone while trailing an unmarked police car by 29 m. Both your car and the police car are traveling at 105 km/h. Your argument diverts your attention from the police car for 2.0 s. At the beginning of that 2.0 s, the police officer begins emergency braking at 5...

Homework Statement If a car cruises at 11.3m/s for 75s, then uniformly speeds up until, after 45s, it reaches a speed of 18.5 m/s, what is the car's displacement during this motion? Homework Equations v(1)=at+v(o) v^2=v(o)^2 +2a(x-xo) The Attempt at a Solution V(o)=11.3...

1. In Jan. 2004, NASA landed exploration vehicles on Mars. Part of the descent consisted of the following stages:? Stage A: Friction with the atmosphere reduced the speed from 19300 km/h to 1600 km/h in 4.0 min. Stage B: A parachute then opened to slow it down to 321 km/h in 94 s. Stage C: Retro...

Hey i do not know how to do ANY of these problems i tried using equations and plugged it in and i don't know how to do it please help... Homework Statement 1. A golf ball is hit with a velocity of 30 m/s at a 28 Degree angle. what is the max height the ball reaches? 2. A Ball is...

Homework Statement A speeding motorist traveling 120 km/h passes a stationary police officer. The officer <i>immediately</i> begins pursuit at a constant acceleration of 10.0 km/h/s. How much time will it take for the police officer to reach the speeder, assuming that the speeder maintains a...

Homework Statement A train at constant acceleration is traveling in a straight line. It passes two points at a velocity of 50km/h and 80km/h respectively. What is the exact velocity of the train when it is halfway between these two points? Let v be the exact velocity of the train when it...

A rotating water pump works by taking water in at one side of a rotating wheel, and expelling it from the other side. If a pump with a radius of 0.120 m starts from rest and accelerates at 35.0 rad/s2, how fast will the water be traveling when it leaves the pump after it has been accelerating...

Homework Statement Q1: A car accelerates uniformly from rest to a speed of 79.7 mi/h in 9.01 s. Find the constant acceleration (expressed in m/s2) of the car. Answer in units of m/s2. Q2: Find the distance (expressed in m) that the car travels during this time. Answer in units of m...

Homework Statement What's the cliff's height (m) if a fallling boulder takes 1.3 s to fall the last 3rd of the way to the ground? Air resistance is ignored, and the problem requires a quadratic formula. Homework Equations I think it's the constant x-acceleration formulas, which I can't...

A proton has the acceleration a=CvxB, where a is the cross product of v and B (a,v,B are vectors). C is a constant and the magnetic field is constant. Prove that the magnitude of the v and a are constant. I know I have to somehow prove the derivative of a or v to be zero, but i have no idea...

Homework Statement A research balloon of total mass 410 kg is descending vertically with a downward acceleration of 1.0 m/s2. How much ballast must be thrown from the car to give the balloon an upward acceleration equal to 1.6 m/s2, presuming that the upward lift of the balloon does not...

Homework Statement A skateboarder coasts down a long hill for 6.00 seconds with constant acceleration, and starting from rest, covers a distance x1. On a second trip down the same hlil starting fron rest, he coasts for 2.00 seconds, covering a distance x2. Find the ratio of x1 to x2...

Homework Statement The instant the traffic light turns green a car accelerats at 3.2 m/s^2. At the same instant a truck traveling at 20m/s overtakes the car. a) How far until the car overtakes the truck b)How fast is the car traveling when it overtakes the truck. Homework...

Is there a formula that will calculate time when I know the following...? Initial velocity = 0 Final velocity = 28.14 feet per second and distance traveled = 3 feet. I would like to know the formula and the time it would take to reach a velocity of 28.14 feet per second if I only have 3...

Homework Statement A train starts at a railway station and accelerates, at a constant rate, for 7 seconds, to a velocity of 115 kilometers per hour east. Set t = 0 at the instant the train starts to accelerate. a) determine the acceleration of the train (in km/hr/sec.) at t = 3.5...

Please I need help with these two problems...the answer is in the back of the book but as much as I've tried I can't find the procedure to do them:cry: I really appreciate your help...thank you so much beforehand! 1) The operation manual of a passenger automobile states that the stopping...

I'm trying to do the following problem: A car can accelerate and brake with constant acceleration, both with the magnitude (a). The car has a maximum velocity (v). The car needs to cover the distance (L), starting and ending at rest. a) How long will it take the car to cover the distance...

[b]1. How far (in meters) does a person travel in coming to a complete stop in 36 ms at a constant acceleration of 60g? [b]2. X=Xo+ VoT and V1=Vo +at [b]3. I converted 60g into 588.6 m/s^2 and then plugged it into the V1 equation to Find V1 which turns out to be 21.1896 m/s (after...

1. a red car and a green car, identical except for the color, move toward each other in adjacent lanes and parallel to an x axis. At time t = 0, the red car is at xr = 0 and the green car is at xg = 240 m. If the red car has a constant velocity of 21.0 km/h, the cars pass each other at x = 47.5...

Homework Statement A particle moves along the s-direction with constant acceleration. The displacement, measured from a convenient position, is 2m when t = 0 and is zero when t = 10s. If the velocity is momentarily zero when t = 6s, determine the acceleration a and the velocity v when t = 10s...

Homework Statement A Rocket is initially at rest on the ground. The rocket flies off in a straight line at an angle 53.1 degrees above the horizontal with a constant acceleration of magnitude \textbf{g}. The engines stop at a time \textbf{T} after launch, after which the rocket is in...

Suppose you want to design an air bag system that can portect the driver in an head-on collision at a speed of 100 km/h. Estimate how fast the airbag must inflate to protect the driver. The answer to this question would be-- t= 0-28/ -390 = 0.07 seconds using the law X= Xo + Vo t + 1/2...

[SOLVED] Angular motion with constant acceleration Homework Statement Homework Equations \varpi= \varpi(inital) + \alphat The Attempt at a Solution I understood part A and Part b, What I don't understand is how to do Part C. What I did was divide the average angular velocity...

1.The cage of a mine hoist starts from rest and descends the top part of the shaft with a constant acceleration of 1m/s^2. For the remainder of the shaft the cage decelerates at a constant 2m/s^2 so that it stops at the bottom of the shaft. The total time taken for the descent is 60s. Determine...

When the cart was rolled down a ramp with tickertape attached to it and the acceleration was calculated using the average velocity, the acceleration seem to be going up and down instead of staying the same... for example, ot goes from 0.5 to 0.2 then to 0.9 and so on...shouldn't they be...

Homework Statement An object traveling along the x-axis at constant acceleration has a velocity of +10 ,m/s when it is at x = 6.0 m and of +15m/s when it is at x = 10m What is it acceleration? B)An object projected vertically upward with initial speed of v0 attains a maximum height of h...

[SOLVED] Constant Acceleration Homework Statement Two cars are traveling along a straight road. Car A maintains a constant speed of 80 km/h and car B maintains a constant speed of 110 km/hr. At t=0, car B is 45 km behind Car A. A) How much farther will car A travel before Car b overtakes...

Homework Statement A rocket launched from the ground rises vertically with an acceleration of 30 m/s/s for 9.1 s until its motor stops. The acceleration of gravity is 9.8 m/s/s. Disregarding air resistance, what maximum height above the ground will the rocket achieve? Answer is units of km...

[SOLVED] Application of the equations of motion with constant acceleration Homework Statement A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 4.0 m/s. Two seconds later the bicyclist hops on his bike and accelerates at 2.2 m/s^2 until he...

[SOLVED] Constant Acceleration Homework Statement At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.1 m/s^2. At the same instant a truck is 10.2 m down the road and traveling with a constant speed of 8.5 m/s. (a) How far beyond the...

[SOLVED] Constant Acceleration Homework Statement a. What constant acceleration, in SI units, must a car have to go from zero to 60 mph in 10s? b. What fraction of g is this? c. How far has the car traveled when it reaches 60 mph? Give your answer both in SI units and in feet...

I'm sorry, this topic has certainly already been covered, but I didn't find what I need. I'm trying to compute x(t) in an inertial frame if a rocket has a constant acceleration "a" as measured with accelerometers inside of it. I made these (clearly wrong) computations: In a co-moving...

Lazy Flee! A lazy flee desires to jump across a log of radius R. It wants to find the most efficient way possible to do so. Find the initial velocity, distance from the radius of the log, and angle so that the above condition is true.

Homework Statement I have 2 rocks. One is thrown straight up from a cliff's edge. A certain amount of time later another rock is dropped from the cliffs edge. I need to calculate the initial velocity of the rock 1 so that they hit the ground simultaneously. I have the cliff hight, the time...

Homework Statement 650kg elevator starts from rest. It moves upward for 3.00s with constant acceleration until it reches its cruising speed of 1.75m/s. What is the average power of the elevator motor during this period? Homework Equations use either force or conservation of energy...

Homework Statement A car moving with a constant acceleration covered the distance between two points 56.1 m apart in 5.44s. Its speed as it passes the second point was 14.2m/s. (a) what was the speed at the first point? (b) What was the acceleration?. (c) At what prior distance from the...

Homework Statement You're driving at 70 km/h when you accelerate with constant acceleration to pass another car. Six seconds later, you're doing 80 km/h. How far did you go in this time? Express your answer using two significant figures.Homework Equations V= V(0)+at V^2- V(0)^2 = 2a (...

Consider two particles A and B. The angular position of particle A, with constant angular acceleration, depends on time according to theta(t)=theta_0+omega_0t+alpha t^2. At time t=t_1, particle B, which also undergoes constant angular accelaration, has twice the angular acceleration, half the...

I got the following question: When the car reaches point A it has a speed of 4 m/s, which is increasing at a constant rate of 2 m/s2. Determine the time required to reach point B and the magnitudes of its velocity and acceleration. See attachment for how the diagram looks like. Now...

Homework Statement Liz rushes down onto a subway platform to find her train already departing. She stops and watches the cars go by. Each car is 8.60m long. The first moves past her in 1.50 s and the second in 1.10 s. Find the constant acceleration of the train. Homework Equations...

Homework Statement An interstlear ship has a mass of 8.97 kg x10^6 and is initially at rest to a star system. What constant acceleration is needed to bring the ship up to a speed of 0.51C, relative to the star system in three days.Homework Equations constant acceleration = v2-v1/t2-t1The...

I solved part a of this problem but I'm having trouble figuring out the different steps for part b...could someone break it down clearly? A certain elevator cab has a total run of 190m and a maximum speed of 305m/min, and it accelerates from rest and then back to rest at 1.22m/s^2 a. how...

Homework Statement At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 2.80 m/s^2. At the same instant a truck, traveling with a constant speed of 17.0 m/s, overtakes and passes the car. How far beyond its...

Homework Statement In a tv set, an electron beam moves with horizontal velocity 2.7 x 10^7 m/s across the cathode ray tube and strikes the screen, 42 cm away. The acceleration of gravity is 9.8 m/s^2. How far does the electron beam fall while traversing this distance? Answer in units of m...