Max height Definition and 123 Threads

Homework Statement the question says " when did the rock reach half its maximum height? Homework Equations a rock is thrown vertically upward from the surface of the moon at a velocity of 24m/sec and reaches height of s= 24t-0.8t^2 The Attempt at a Solution i figured out when...

I'm having some difficulty with a homework problem which states: A cannonball is shot straight up out of a very powerful cannon located at the South Pole and reaches a maximum height of one Earth radius above the surface of the Earth. What was its initial speed? How long did it take to reach...

Homework Statement The question is as following: a) A dog in a stunt takes a jump off a rook which is 40 m high above the ground and lands on the next building which is of the same height , the gap between the two buildings is 6m @ the velocity of 8 m/s .Find the range of angles at which he...

Homework Statement "A boy throws a rock with an initial velocity of 3.13 m/s at 30.0 degrees above the horizontal. How long does it take for the rock to reach the maximum height of its trajectory?" vi = 3.13 m/s tmax height = ? vf = 0 m/s (at max height) a = -9.8 m/s2 Homework...

Homework Statement A toy rocket, launched from the ground, rises vertically with an acceleration of 23 m/s2 for 11 s until its motor stops. Disregarding any air resistance, what max- imum height above the ground will the rocket achieve? The acceleration of gravity is 9.8 m/s2 . Answer...

Homework Statement Design projectile motion simulation and produce the max height, inital and final velocity, range, and time of flight. must use digital or photographic tech to record events and assist in the experiment> Okay so I've designed a half projectile motion simulation. A ramp...

A rocket of mass m=1.20x10^3 kg is launched vertically upward from the Earth's surface with an initial speed v0 = 7.00 km/s. Calculate the maximum height H of point A above the Earth's surface at which the rocket will momentarily come to rest, before it starts falling back on the earth. So I...

Homework Statement A batter at a baseball game hit a ball such that it flew into the stands. The ball was caught by a fan when it was moving at 10 m/s at a height 20 m above the height it was hit. What was the maximum height to which the ball rose before falling back down towards the fan...

Homework Statement A spring is fixed at one end to the ceiling, with an ball of mass, m, and radius, r, hanging vertically at the other end of the spring. The system is in equilibrium. The spring has constant, k, and natural length, l0. I then pull the ball down to an extension, x1, from...

Hi all, I have a question, where I am given just the angle at which the object is fired at to the horizontal and the amount of time the object stays in the air. How can I possibly find the distance at which the object will land from the origin if I don't have the velocity at which the object...

Homework Statement A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 53.9 m/s^2. The acceleration period lasts for time 7.00 s until the fuel is exhausted. After that, the rocket is in free fall. Find the maximum height ymax reached by...

Homework Statement A projectile is launched from ground level with an initial speed of 48.7 m/s. Find the launch angle (the angle the initial velocity vector is above the horizontal) such that the maximum height of the projectile is equal to its horizontal range. (Ignore any effects due to...

Homework Statement A ball is thrown vertically upwards at speed v0. Assume drag force is proportional to v2. a) Show that, while moving upwards, Newton's Second Law gives a = -g(1+v2/vt2) where vt is the terminal speed. b) Take v0 = 3vt and solve for v(t), the time tmax at which it...

Homework Statement An electron is projected at an angle of 29.1° above the horizontal at a speed of 8.29×105 m/s in a region where the electric field is E = 378j N/C. Neglecting the effects of gravity, calculate the time it takes the electron to return to its initial height, the maximum height...

Homework Statement A body is thrown into the air with an initial velocity of v0. What initial velocity is required to double the maximum height previously attained?Homework Equations The Attempt at a Solution I found the max height v02/64 at v0 by solving for 't' in the velocity equation when...

a cannon is placed on an edge of a cliff and launches shell with an initial velocity of 710m/s [35degrees above the horizontal]. the shell lands 15m below its launching position. a) determine the max height of the shell b) determine the horizontal range of the shell from the base of the cliff...

Homework Statement An object of mass .5 kg is hung from the end of a steel wire 2m in length and .5mm in diameter. The mass is lifted a distance h and then dropped (creating a 'jerk') What is the largest value of h if you don't want the wire to break? Ultimate Strength: 1.1E9 N/m^2 Young's...

Express Max height in terms of g and T?!? I need to express the y_max in terms of g and T... do i need to put in my V_0y value? or leave it as a variable? i've tried V_0y*T + 1/2gT^2

Projectile Motion - V0 is 5 times v @ max height?!? Thanks prior, all... Homework Statement A projectile's launch speed is 5 times its speed at maximum heigth. Find launch angle theta0. Homework Equations Not sure which are relevant on this one, but the given for the section are...

Homework Statement A ball of mass m is launched at an angle theta from a spring gun of length D. The lower end of the gun, where the spring is attatched, is at ground level. The spring has spring constant k and an unstretched length D. Before launch, the spring is compressed to a length d...

Homework Statement A projectile os launched with velocity of 200m/s at an angle of 45deg to the horizontal. Calculate: a) the maximum height reached b) the time of flight c) the range Homework Equations v^2=u^2+2as s=ut+1/2 at^2 The Attempt at a Solution I know the first 2 but...

Homework Statement A model rocket initially at rest on the ground is fired vertically upward, and the engine thrust produces a constant acceleration a = 40 m/s2. After running for 2.5 s the engine is cut off and then the rocket is in free fall. (a) Find the maximum height that the rocket...

Homework Statement A 32 kg cannon ball is fired from a cannon with muzzle speed of 1360 m/s at an angle of 44◦ with the horizontal. The acceleration of gravity is 9.8 m/s2 . What is the total mechanical energy at the maximum height of the ball? Answer in units of J. Homework Equations...

Homework Statement Let y be the the solution of the initial value problem. The maximum value of y is? y" + y = -sin(2x) y(0) = 0 y'(0) = 0 Homework Equations N/A The Attempt at a Solution Factor out original equation to find general equation. r2 + 1 = 0 r = 0 + i; 0- i Thus...

Homework Statement What is the maximum height that the body reaches when thrown vertically upwards from the surface of the Earth at a velocity of 5km/s, if we neglect the impact of the atmosphere? The radius of the Earth is r= 6400km; the acceleration of gravity on the surface is g = 10...

Problem: An 8 m, 200 N uniform ladder rests against a smooth wall. The coefficient of static friction between the ladder and the ground is .45, and the ladder makes a 60 degree angle with the ground. How far up can an 800 N person climb before the ladder begins to slip? a. 7.8 m b. 6.8 m c. 5.8...

Homework Statement An arrow is shot at 30.0° above the horizontal. Its initial speed is 50 m/s and it hits the target. (a) What is the maximum height the arrow will attain? (b) The target is at the height from which the arrow was shot. How far away is it? Homework Equations SOH...

Homework Statement A golf ball with an initial angle of 33◦ lands ex- actly 184 m down the range on a level course. The acceleration of gravity is 9.81 m/s2 . a) Neglecting air friction, what initial speed would achieve this result? Answer in units of m/s. 009 (part 2 of 2) 10.0 points...

Homework Statement A 40kg crate is lifted by a poorly working hoist system that risks dropping the object, which breaks at forces exceeding 1000N. Find the maximum height to which the crate can be hoisted before it risks breaking if dropped. Homework Equations F=ma=mg U=mgh=(mv^2)/2...

Hello! This is not homework :-) I can figure this out: y = 100 = max height 0,0 200,0 ------------------------------------------------------------ By getting the initial y velocity = sqrt(2 * gravity * max...

Homework Statement Find the max height of a projectile fired at an angle of 30 degrees if it's inital speed is 0.714m/s. (this is a lab so I have other data that might be needed) Homework Equations V22=V12+2ad The Attempt at a Solution V22=V12+2ad 0=(0.714sin30o)2+2(-9.81)(d) d=19.62-0.127449...

Wrongly called for a foul, an angry basketball player throws the ball straight down to the floor if the ball bounces straight up and returns to the floor 2.8 s after first striking it, what was the ball's greatest height above the floor? I keep getting the wrong answer I am plugging in...

This is a question from "Fundamentals of Physics 8th Edition Extended, Chapter 4, Checkpoint3." "At a certain instant, a fly ball has velocity v->=25i-4.9j (the x-axis is horizontal, the y-axis is upward, and the v-> is in metres per second). Has the ball passed its highest point? The...

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...

For a force F = −mg ± cv^2 (the sign is chosen so the drag force is opposite the motion), you can use a trick: let u = v^2, and generate a differential equation for u(x) (not u(t)!), which is not too hard to solve. (Hint: the chain rule gives this dv/dt=dv/dx * dx/dt should help.) a) Solve...

Homework Statement A 16g bullet is fired into the bob of a ballistic pendulum of mass 1.5kg When the bob is at its maximum height, the strings make an angle of 60 degree with the vertical. The length of the pendulum is 2.3 m. Find the speed of the bullet. Homework Equations pi=pf...

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 60 percent of the escape speed for that planet. The projectile will rise to a maximum height and...

Homework Statement A projectile is fired with an initial speed of 100 ft/s and angle of elevation Pi/6 (30 degrees). Find: A) the range of the projectile (along the x-axis) B) the maximum height reached C) the speed at impact Homework Equations Vf^2 = Vi^2 +2a*s Vf = Vi + a*t...

Consider a frictionless track ABC as shown in Figure P8.23. A block of mass m1 = 8.00 kg is released from A. It makes a head-on elastic collision at B with a block having a mass of m2 = 14.0 kg that is initially at rest. Calculate the maximum height to which m1 rises after the collision...

Homework Statement A daredevil on a motorcycle leaves the end of a ramp with a speed of 39.5 m/s as in Figure P5.23. If his speed is 38.0 m/s when he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance. Homework Equations Eo =...

Homework Statement If a salmon swims straight upward in the water fast enough to break through the surface at a speed of 2.5 meters per second, how high can it jump above water? Homework Equations i don't know, because all i know is speed. The Attempt at a Solution is...

A certain freely falling object requires 1.5s to travel the last 30.0 m before it hits the ground. from what height above the ground did it fall? The answer is 32.8 m but i don't no how to get it. please help

Homework Statement A projectile is launched with an inital velocity of 30 m/s so that it covers a horizontal range of 45m. Determine the maximum height reached by the projectile. (There are two answers) I know the answers are 2.96m and 43.0m. but I only know how to find the first. :(...

Homework Statement find max height of a projectile traveling at 40 m/s 60 degrees from the horizontal using conservation of energy Homework Equations KEi + PEi = KEf + PEf? The Attempt at a Solution couldnt attempt. (I know I can't be given the answer, but even just the proper...

For a physics experiment, we had to take a kong (dog toy with a rubber ball on the end of a rope), twirl it and then throw it as far as we could. We were told to record how long it was in the air for, and the distance for two throws. This was all was we were told to record. Afterwards, we need...

[SOLVED] max height expressed with v, theta, and g Homework Statement what is the max height of a projectile with velocity v at an angle theta using the conservation of energy? express in terms of v, theta, and g Homework Equations 1/2*m*v^2=mgh The Attempt at a Solution i...

1. I am trying to derive the equation for maximum height of a trajectory. Must be in terms of v, theta, and g. 2.Vy=vsin(theta) dy=vsin(theta)t+0.5gt^2 3. I know that I must find the point when the vertical velocity is equal to zero and must find one equation for time. Then sub this...

Homework Statement An arrow(mass=0.2kg) is fired at a 45 degree angle with an inital velocity of 15 m/s. Find it's max height and kinetic energy when it is at it's max height. Homework Equations Ek=1/2mv^2 Ep=mgh The Attempt at a Solution I tried breaking it down to x and y...

Hey guys, I just started a physics class in college and I'm having a hard time understanding most of it, but I'm trying... Anyways, I'm trying to find "Distance Up" for the problem below, and I just can't understand how the professor got 1.28m for his answer.Homework Statement A projectile...

Homework Statement Given a isosceles triangle with base 1.32 meters and other sides unknown; Given rectangle with base 1.32 meters. These polygons are on an incline of 24 degrees. What are the maximum height of the rectangle and the maximum side lengths of the triangle (not the base) without...