A space shuttle is fired and the position of the shuttle is given by r(t)=(2*t*t-5*t)i+ (3*t+1)j+(12*t*t*t)k where t is in seconds, r is in meters and i.j,k are the unit vectors of x,y,z directions respectively. Find the average acceleration of the space shuttle between the time interval t=10s and t=1 minutes. * 5

A space shuttle is fired and the position of the shuttle is given by r(t)=(2tt-5t)i+ (3t+1)j+(12ttt)k where t is in seconds, r is in meters and i.j,k are the unit vectors of x,y,z directions respectively. Find the average acceleration of the space shuttle between the time interval t=10s and t=1 minutes. 5

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

An object moving at constant speed v around a circle of radius r has an acceleration a directed toward the center of the circle. The SI unit of acceleration is m/s2. If the speed is increased 17.5%, by what percentage does the radial acceleration increase?
A rocket is launched following the path h = 64(3x + 1)2 ,where x is the horizontal distance and h is the vertical distance (height) the rocket has traveled from the launch pad. The vertical speed of the rocket is clocked at 12 mi/sec at a height of 1 mile. Simultaneously, it is noted that the vessel had drifted 5 miles from being directly above the launch pad. Find the horizontal speed of the rocket.
The force F has a magnitude of 740 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F. Assume F = 740 N, 0 = 38% Answers: F = (i i+ j) N Fx= i N N
A velocity vector has x-component vx = 6.3 m/s and y-component vy = - 2.5 m/s. What is the total magnitude of the velocity? O 3.8 m/s 6.7 m/s 5.8 m/s 8.8 m/s
A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. Write a vector expression for the ball’s velocity as a function of time.
The kinematic equations can describe phenomena other than motion through space and time. Suppose x represents a person's bank account balance. The units of x would be dollars ($) and velocity v would give the rate at which the balance changes (in units of, for example, $/month). Acceleration would give the rate at which v changes. Suppose a person begins with one thousand dollars in the bank. Initial money management leads to no net change in the account balance so that v. 0. Unfortunately, management worsens over time so that a = -2.42 x 102 $/month2. Assuming a is constant, find the amount of time in months until the bank account is empty. HINT months Mand Halan
A golf ball is hit off a tee at the edge of a cliff. Its x and y Coordinates as functions of time are given by the following expressions: x = (18.0 m/s)t y = (4.00 m/s)t – (4.90 m/s²)t² a) Express the position of the ball as a function of time in terms of unit vectors. b) Express the velocity of the ball as a function of time in terms of unit vectors. c) Express the acceleration of the ball as a function of time in terms of unit vectors. Note: To express a function in terms of unit vectors, you treat the equivalent of "x" as a coefficient of î, while “y" as a coefficient of j.
The position of a moving particle in vortex is expressed as, x(t) = x0 sin(at3 + bt3/2) where x0is the position at t = 0, x (t) is the position at time t, and a and b are the constants. Using dimensional analysis find the units of the constants a and b?
The analytical method of adding vectors expressed in terms of their components may be applied to vectors in three dimensions, for which graphical work is inconvenient. Find the magnitude of the resultant of the vectors A = il2 - j37 + k58 and B = i5 + j30 - k42, where i, j, and k are unit vectors along the x, y, and z axes, respectively.
1d. A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 18.5 m/s. The cliff is h = 20.0 m above a flat, horizontal beach as shown in the figure. Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x= y=
The velocity vector of a sprinting cheetah has x- and y-components vx = +28.6 m/s and vy = −26.3 m/s. What is the magnitude of the velocity vector?
A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 17.2t and y = 4.16t − 4.90t2, where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and ĵ. (Give the answer in terms of t.) = m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector as a function of time = m/s(c) obtain the expression for the acceleration vector as a function of time = m/s2(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.18 s. = m = m/s = m/s2