A rocket travels along a parabolic path of 200 · y? – 1800 = 10 · x. The rocket moves at a constant-mvertical velocity of V = 1000y = f(x)101020304050607080a. Determine the y -position at x = 70 m.b. Determine the horizontal velocity, V/x, at x = 70 m.c. Determine the magnitude of the velocity, V , at x = 70 m.d. Determine the horizontal acceleration, ax, at x = 70 m.

For solution refer below images.

Answered: A rocket travels along a parabolic path…

A rocket travels along a parabolic path of 200 · y – 1800 = 10 · x. The rocket moves at a constant m vertical velocity of V = 1000 y = f(x) 20 10 20 30 40 50 70 80

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The horizontal motion of the plunger and shaft is arrested by the resistance of the attached disk which moves through the oil bath. The velocity of the plunger is v0 = 3.1 m/s in the position A where x = 0 and t = 0, and the deceleration is proportional to v so that a = -kv where k = 0.32 s-1. Find (a) the velocity when t = 2.9 s, (b) the position x when t = 2.9 s, (c) the velocity when x = 4.2 m.
1) We would like to design a wagon system as below when filling coal into the furnace at the Coke factory inside Kardemir. In this system, we want the wagon to reach a speed of v= 2 m/s in t=4 seconds. It will then shoot at constant speed. How much engine power is required to tow a wagon with W= 390 kgf under these conditions P=? (Losses will be ignored). (The slope angle of the ramp is α= 11 degrees.)
3 liter per 26 sec is discharged from nozzle to impact 60°target if the distance between nozzle and target equal four times a nozzle's diameter and the diameter for nozzle equal 1cm depend on this information to answer following questions: 1. determine the velocity at nozzle 2. determine the impact force 3. if we change the target to hemispherical, determine the ration between two forces
v(3) A crate of mass m = 10 kg is "lifted" from rest by a rope with a force given by F = 75√t N. Find the speed of the box at t = 3 s and at t = 6 s. How much higher is the box, measured from its starting position, at t = 6 s? Use impulse and momentum, I guess = v(6) = y(6) m S m 8 m m F CC UBC Engineering
(4) V₁ = 6 m/s 40° Funny Juk = = 0.35 d = TBD block : m = 5 kg Spring: k = 100 N/m Value L = won't be needed ^ A block is positioned on a 40° slope as shown, and a spring is attached to it as shown. The spring is relaxed (unstretched) in the position shown. The block is given an initial velocity V₁ = 6 m/s downslope. Find the distance "d" that the block will slide before it comes to a stop. Use the Principle of Work and Energy.
A 26-pound weight stretches a certain spring 2 feet when the weight and spring are placed in a fluid that resists motion with a force equal to four times the speed. If the weight is stopped at the equilibrium position and then given a velocity of 5 ft / s, find the equation of motion. The DE that models this phenomenon is y "+ Xy '+ (p/l)y = 0, where X is the resistance force of the medium, p is the weight and l the stretch it produces in the spring.
I Suppose an autonomous surface vessel (ASV) traveling with velocity TvG/O= vi₁ begins to make a turn by adjusting the thrust of its left and right thrusters, TA and TB, respectively. The center of mass of the ASV is located at G and the ASV is symmetric about its vertical axis. The ASV also experiences a drag force that is proportional to its speed and opposes its velocity. At the instant shown, the drag force is D = -kvi₁ where k is a drag coefficient. 1. To model the mass moment of inertia, approximate the ASV as consisting of three rigid bodies: a flat plate as a center body of mass 6m and two slender rods housing the propulsion assemblies, each of mass m, at the outboard sides of the vehicle. Determine the mass moment of inertia, IG, about the vertical axis passing through the center of mass G. (Hint: Use the parallel axis theorem.) 2. At the instant shown, determine the inertial acceleration vector ac/o = axi₁ + ayi2 of the center of mass and the angular acceleration a of the…
Since you are studying mechanics, you decide to consider what Isaac Newton learned by sitting under an apple tree. Fortunately, you decide to wear a helmet, so you may be more practical than Newton was when an apple fell on his head. And you're in luck, an apple (ma = 0.3 kg) falls vertically from the tree and strikes your helmet with a velocity, V₁ = 5 m/sec. The apple then bounces off your helmet to the left at a velocity V₁ = 2 m/sec and an angle of 40° above the horizontal (see the figure). The contact time between the apple and the helmet is 0.12 seconds. (a) Determine the horizontal and vertical components of the impulse exerted by the helmet on the apple. (b) Determine the vertical component of the average impulsive force exerted by the helmet on the apple. V₂ = 2 m/sec Use COLM principles, starting with governing equations, to earn full credit. V₁ = 5 m/sec
An automobile P is traveling along a circular track of radius R=958.4 m. At position "A" on the track, the automobile has a speed of UA = 10.3 m/s. At this position, the driver of the automobile applies the brakes causing the speed of the automobile to change with distance s traveled along the track according to the following equation: U(S) = VA COS(0.001s) m/s (cos is in radians), where s is given in meters. Determine the magnitude of the acceleration for the driver when the automobile reaches position "B" on the track where "B" is a quarter of the distance around the track from position "A". R B O circular track
Q4: A two-stage rocket is fired from rest (t=0) with acceleration shown. At t=30s the second stage ignites. a. Plot the v-t and x-t graphs for 0
A truck travels up an incline that is defined by the function y = – 0.00475 · x² + 16 ft. The truck has a ft constant speed of 60 Hints: 1. Note the direction the truck is driving y y = f(x) di Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value di 70 ft 70 ft. b. Determine the y-component of the truck's velocity, Vy/y, at x = 70 ft. a. Determine the x-component of the truck's velocity, V/x, at x =
Vr A camera tracks the position of a particle moving along the given path with b = 10 m. At the moment shown, the camera angle is 0 = 40°, and the camera is rotating at 0.3 rad/s, which is accelerating at a rate 0 = 0.2 rad/s². What are the radial and transverse components of velocity and acceleration at this instant? Vo = Ar 0 ao = r = b sin(20) m/s m/s m/s² m/s² =