Maximum height Definition and 147 Threads

Homework Statement A 275 KG steel mass is held by a long cable to the ceiling. Daniel hits the steel mass horizontally and gives it a horizontal speed of 1.75 m/s. Assuming there is no friction, determine the maximum height gain, in centimetres, of the steel mass after the collision...

A human cannonball was fired from a cannon with a muzzle velocity of 107 km/h. The firing angle was 45 degrees from the horizontal Ive converted 107 km/h to 29.71 m/s 1.How many seconds did it take for the human cannonball to reach maximum height? 2.How high did he rise? h =...

Assume you have a weightless constant volume container "filled with" vacuum. If you let it float in the atmosphere, how "high" would it go? I guess at some point Archimedes' principle should fail. What do you think?

Homework Statement You need to derive the general maximum height equation for projectile motion. This equation allows you to calculate the maximum height a projectile reaches or could reach during its motion. Like other such equations we derived in this unit, this one is also very short and...

I'm trying to solve this problem via Lagrangian mechanics, but I'm having trouble correctly formulating the problem, I'm hoping one of you kindly people can show me where I'm going wrong. A pendulum bob of mass m hangs in the equilibrium position from a light, inextensible string of length l...

Homework Statement A 0.145-kg baseball is struck by a bat 1.20 m above the ground, popping straight up at 21.8 m/s. (a) What's the ball's kinetic energy when it leaves the bat? (b) How much work is done by gravity once the ball reaches maximum height? (c) Use your answer in part (b) to find...

Hello, I have a physics lab tomorrow and have to answer this question to be admitted in. We haven't begun to talk about Pendulums in lecture yet, so I have NO idea where to start. Here's the question: A mass of 40 kg suspended from a 43-cm long light string forms a simple pendulum. The mass...

Hi everyone! If i know that acceleration is the derivative of the velocity, why when i throw an object in the air when the object reaches the maximum height its velocity is 0 m/s and its acceleration is still -9.8 m/s^2 ? I mean, the derivative of 0 m/s is not -g but still 0. Who can explain...

1. An arrow is shot vertically upward with an initial speed of 25 m/s. When it's exactly halfway to the top of its flight, a second arrow is launched vertically upward from the same spot. The second arrow reaches the first arrow just as the first arrow reaches its highest point. What is the...

Homework Statement A 4.27-kg object is thrown vertically upward from the surface of Mercury, where the acceleration due to gravity is g1 = 3.70 m/s2. The initial velocity is v1, and the object reaches a maximum height of y1. What is the maximum height, y2, if the object is thrown with a...

Homework Statement A rocket is launched at a planet of 600km radius, 5.29e22 kg mass, and 9.8068 m/s^2 surface gravity such that it reaches a maximum height 'h' with work 'x'. What is the value of 'x'? Ignore air resistance, and gravity is dependent on height. Homework Equations Unsure of...

Homework Statement A basketball player is awarded free-throws. The center of the basket is 4.21m from the foul line and 3.05m from the ground. On the first free throw he throws the ball at an angle of 35 degrees above the horizontal with a speed of v_0 = 4.88 m/s. The ball is released 1.83m...

Hi everyone, I'm trying to design a formula that determines the launch velocity, launch angle, and time spent in the air for a projectile if only the initial launch height, maximum height reached, and total horizontal distance traveled before the projectile hits the ground are known. It's not...

http://dl.dropbox.com/u/33103477/gravity.png I have worked out the first two bits. (So you can assume that I have that) But I can't figure out how to work out the maximum height reached. I know there I can equal the KE and the PE to work out max height, but that doesn't look like it'll...

Homework Statement A golf ball is hit with a velocity of 22.8m/s at an angle of 40.0° with respect to the horizontal. a) Find the range of the golf ball. b) Find the maximum height reached by the golf ball. Homework Equations dv=1/2*at2 dh=Vh*Δt Kinetic equation d=Vi*t+ 1/2*at2...

The problem goes like this. A water fountain sprays water at a 50 degree angle from the horizontal. The top of the arc is .15m high. What is the horizontal speed of the water? Using SOHCAHTOA, I have managed to find the distance the water flies, and the angles of the triangle the 50 degree...

hi guys. new here, i need help finding the maximum height, i saw my question was posted before here i am still confused and not able to do the problem

Last problem I can't get around.. Homework Statement A ball is thrown upwards at some velocity. 2 seconds later the ball is caught 10m up on a building. What is the highest possible height of the ball? Homework Equations X_f=x_i+V_x(t)-(1/2)(9.8m/s^2)t^2 (where X_f=10)...

Homework Statement A ball is thrown upward. What is its maximum height? Its initial vertical speed is 10.8 m/s and the acceleration of gravity is 9.8 m/s^2 Neglect air resistance. Answer in units of mHomework Equations dfinal=dintial+vfinalΔt+ 1/2averageaccelerationΔt^2 or...

a small object with mass m=10gr is thrown vertically upwards from the surface of Earth with a velocity v=10m/s i need to find the max height(Hmax) (when v=0) and the time(tmax) when the object reaches the max height by using Newton's second law only. (ignore the effect of air and air...

Homework Statement A rocket has a body which consists of 0.49kg of material. This body holds 1.47kg of fuel. The fuel is consumed at a rate of 0.49kg/s, and the exhaust speed of the fuel is 60m/s. Assuming that the rocket starts from rest, what is the maximum height the rocket reaches...

Homework Statement The question i need to answer is: A baseball has a flight time of 7 seconds. What maximum height did it reach? (ignore air resistance.) Homework Equations I need to use equation 1 and equation 5 of the constant acceleration equations. The Attempt at a Solution I...

maximum height of a toy rocket?? Homework Statement A toy rocket is launched vertically from ground level(y=0) at time t=0s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 49 m and acquired a velocity of...

Homework Statement A football is kicked straight into up into the air; it hits the ground 5.2s later. What was the greatest height reached by the ball? Assume its kicked from ground level. With what speed did it leave the kicker's foot? Homework Equations xf=xi + (vx)i +...

Homework Statement A coin tossed straight up into the air takes 2.75 s to go up and down from its initial release point 1.30 m above the ground. What is its maximum height? Homework Equations The Attempt at a Solution I seriously have no clue how to do this problem. I...

Homework Statement A projectile is launched with an velocity of 40 m/s and crosses a tower of height 20.4 m after 2 seconds. Find the angle of projection with the horizontal and the horizontal range. Homework Equations S = ut - 1/2 gt2 where S is the distance, u = 40 Sin\Theta and g...

At what projection angle will the range of a projectile equal its maximum height? I am having a lot of trouble with this one. Is there any way to solve this question without using double angle identities? I know that this should be the first step: Max height when Vy=o Vfy2=Voy2 +...

Homework Statement A baseball is thrown upward from a height of 2m with an initial velocity of 10m/s. Determine its maximum height. Homework Equations S(0) = 2m S'(0) = 10m/s The Attempt at a Solution S'(t) = -32t + 10 S(t) = -16t^2 + 10t + 2 I know that if you...

Homework Statement A Circus performer is shot our of a cannon and shot over a net that is placed horizontally 6 meters from the cannon. When the cannon is aimed at an angle of 40 degrees above the horizontal, the performer is moving in the horizontal direction and just barely clears the net...

Homework Statement A ball thrown straight up in the air at a speed of 9.7 m s-1 How to work out it's maximum height before falling to earth? *No air resistance - gravity is 9.8 m s-2* Homework Equations No mass is given for the ball, so I'm a bit stuck with this. The Attempt at...

Homework Statement The Sun is presently about 20 pc out of the midplane of the disk, and moving away from the midplane at about 7.4 km s−1. Using these as the current position, z(tnow), and velocity, vz(tnow), what is the maximum height zmax (in pc) the Sun will reach before turning around...

Homework Statement A. 04 kg bead slides on a curved frictionless wire, starting from rest at point A. At point B, the bead collides elastically with a 0.6-kg ball at rest. Find the height that the ball moves up the wire. The answer is .96 m. Homework Equations m1v1i + m2v2i=m1v1f + m2v2f...

I need to calculate the maximum height above sea level of a projectile. I already have the values for the initial velocity, the angle and the time of flight, and I have the following equation to calculate the y-component of the displacement from the launch point...

Homework Statement 1. A ball is thrown upward. After reaching a maximum height, it continues falling back toward Earth. On the way down, the ball is caught at the same height at which it was thrown upward. If the time (up and down) the ball remains in the air is 2.1 s, find its speed when it...

1. A ball is thrown with a velocity of 20m/s at an angle of 30 degrees and travels 3.0s before hitting the ground. What is the maximum height of the ball? 2. I really am new to physics and have am not sure about the relevant equation. I do want to learn and don't want my work done for me...

Homework Statement A ball is thrown vertically up from y=0 at time t=0 with vinitial=v0j. Show that the time it takes for the ball to reach the ground is twice the time it takes to reach its maximum height. Homework Equations h=(vi2sinthetai)/2g R=(vi2sin2thetai)/g The Attempt at...

An ant is trying to climb out of a semi spherical bowl that has a radius of 10cm. The static coefficient is .03. How high can the ant reach before it slides back down to the center of the bowl.

Homework Statement A projectile is fired across a horizontal flat plane. Its initial velocity is 25.5 m/s and is fired at an angle of 31.8° above the horizontal (a) How long does it take to get to the maximum height? (b) What is the maximum height? (c) Determine the horizontal and...

A 48 kg skier starts from rest at a height of H = 28 m above the end of the ski-jump ramp. As the skier leaves the ramp, his velocity makes an angle of 28° with the horizontal. Neglect the effects of air resistance and assume the ramp is frictionless. Could u give me a formula i need to start...

Homework Statement Hint: Disregard any dissipative effects of the atmosphere of the planet. A projectile is launched from the surface of a planet (mass M, radius R) with a launch speed equal to 61 percent of the escape speed for that planet. The projectile will rise to a maximum height...

Hey I wondered what the best way to proceed about fiding the maximum length of a projectile when fired at an angle relative to an incline. Would a coordinate axis along the incline be the best choice? Then I could solve the equations for when y = 0, but it would also result in an acceleration in...

[b]1. A model rocket with a mass of 4.3kg is launched straight up at a speed of 65m/s. Kinetic energy when it takes off is 9083.75 J. Total energy when it takes off is also 9083.75J. When the rocket reaches its maximum height, what is its kinetic energy? [b]2. KE(kinetic energy)=1/2MV^2...

Hello! My question is...What is the maximum height obtained by a 125 g apple that is slung from a slingshot at an angle of 78 degrees from the horizontal with an initial velocity of 18 m/s? Thanks!

Homework Statement "A golfer can hit a golf ball a horizontal distance of over 300m on a good drive. What maximum height will a 301.5m drive reach if it is launched at an angle of 25 degrees to the ground? Here's a second problem I got right: "A quarterback throws the football to a stationary...

Homework Statement Consider a frictionless track. Imagine point A to B is one quarter of a circle; point B to C is a horizontal flat plane; point C to D is also one quarter of a circle. The block m1 is released from A. It makes a head-on elastic collision at B with m2 (that is initially...

Homework Statement 0.25-kg skeet is fred at an angle 30 to horizontal with a speed 25m/s. when it reaches tha max. height, it is hit from below by a 15g pellet traveling verticaly upwared at speed of 200m/s. the pellet is embedded to the skeet. 1) how much higher did the skeet go up? 2) how...

Homework Statement An astronaut in his space suit can throw a ball a maximum distance dmax = 9 m on the surface of the earth. For a given speed of the ball, what angle to the horizontal q (in degrees) will yield the greatest range? 45 degrees If the ball is thrown at this same angle...

A model rocket is launched straight upward with an initial speed of 54.4 m/s. It accelerates with a constant upward acceleration of 2.20 m/s2 until its engines stop at an altitude of 131 m. What is the maximum height reached by the rocket? How long after lift off does the rocket reach its...

I'm trying to solve the following problem using a MATLAB script but I keep getting an error: Show on the same axes the maximum height and horizontal distance traveled for an object thrown at a speed of 10ms-1 at an angle ranging from 0 to π/2. Equation for distance & height are: D= v2/g...

Homework Statement A doctor, preparing to give a patient an injection, squirts a small amount of liquid straight upward from a syringe. a) If the liquid emerges with a speed of 1.3 , how long does it take for it to return to the level of the syringe? b) What is the maximum height of the...