The position as a function of time (x(t), y(t))of a projectile fired with a speed of vo at anangle a is given byx(t) = v₁cosα ty(t) = vo sina.t-12812Ꮎ1whereg = 9.81 m/s². The polar coordinates ofthe projectile at time t are (r(t), 0(t)), wherer(t) = √x(t)²+y(t)² and tane = y(1) Consider the case where vox(t)and 0=70°. Determine r(t) and 0(t) for t = 1, 6, 11,31s.=162 m/s

Other values can be computed by changing the t in x(t) and…

Answered: The position as a function of time…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Similar questions

● Plot t(dilated time) for t = 1 hr (proper time) at different speeds [v =0, 0.1c, 0.2c......0.99c, c]
● Plot t(dilated time) for t = 1 hr (proper time) at different speeds [v =0, 0.1c, 0.2c......0.99c, c]
The following is used to model a wave that impacts a concrete wall created by the US Navy speed boat.1. Derive the complete piecewise function of F(t) and F()The concrete wall is 2.8 m long with a cross-section area of 0.05 m2. The force at time equal zero is 200 N. It is also known that the mass is modeled as lumped at the end of 1200 kg and Young’s modulus of 3.6 GPa2. Use *Matlab to simulate and plot the total response of the system at zero initial conditions and t0 = 0.5 s
A vertical photograph taken from a camera has calibrated focal length f153.206 mm contains an image point "a" of object point A at coordinates x=64.969 mm. y =-78.526 mm relative to the fiducial axes, Calibration sheet shoWS x = 0.247 mm and y= 0.238 mm as calibrated coordinates of principal point. Also, lists the radial lens distortion coefficients K1 2.99778547 x10-08 mm-2 K2-3.15091119 x10A-12 mm-4: K3 H 6.05776623 x10-17 mm-6. Compute the corrected coordinates for the image point "a"
Suppose that you have measured the length of the side of a cube as (3.00±.005) meters. Give an estimate of the volume of the cube and a (good) bound on the absolute error in your estimate.
F4
Computer Science f(x)= Sin(x) – x 3 + C Where C = Max [0.15, (69/100)] x20, (x is in radian). Apply the false position method three iterations to find the root of the function (Decide the starting values of Xl and Xu yourself)
Suppose that you have measured the length of the side of a cube as (3.00±.005) meters. Give an estimate of the volume of the cube and a (good) bound on the absolute error in your estimate.
2. The flight of a model rocket can be modeled as follows. During the first 0.15 s the rocket is propelled upward by the rocket engine with a force of 16 N. The rocket then flies up while slowing down under the force of gravity. After it reaches the apex, the rocket starts to fall back down. When its downward velocity reaches 20 m/s, a parachute opens (assumed to open instantly), and the rocket continues to drop at a constant speed of 20 m/s until it hits the ground. Write a program that calculates and plots the speed and altitude of the rocket as a function of time during the flight.
2. calculates the trajectory r(t) and stores the coordinates for time steps At as a nested list trajectory that contains [[xe, ye, ze], [x1, y1, z1], [x2, y2, z2], ...]. Start from time t = 0 and use a time step At = 0.01; the last data point in the trajectory should be the time when the oscillator "hits the ground", i.e., when z(t) ≤ 0; 3. stores the time for hitting the ground (i.e., the first time t when z(t) ≤ 0) in the variable t_contact and the corresponding positions in the variables x_contact, y_contact, and z_contact. Print t_contact = 1.430 X_contact = 0.755 y contact = -0.380 z_contact = (Output floating point numbers with 3 decimals using format (), e.g., "t_contact = {:.3f}" .format(t_contact).) The partial example output above is for ze = 10. 4. calculates the average x- and y-coordinates 1 y = Yi N where the x, y, are the x(t), y(t) in the trajectory and N is the number of data points that you calculated. Store the result as a list in the variable center = [x_avg, y_avg]…

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