The distance x of a particle from a fixed point at time t is given by, x = 5 + Asin 2t + B cos 2t, where A and b are given to be 3 and 4 respectively. However, it is found on measurement that there is a 1% erroe in the maximum value of x and this is due to an error in A only. Find the percentage error in A.

The distance x of a particle from a fixed point at time t is given by, x = 5 + Asin 2t + B cos 2t, where A and b are given to be 3 and 4 respectively. However, it is found on measurement that there is a 1% erroe in the maximum value of x and this is due to an error in A only. Find the percentage error in A.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter2: Kinematics

Section: Chapter Questions

Problem 3CQ: Bacteria move back and f01th by using their flagella (Structures that look like little tails)....

See similar textbooks

Similar questions

The distance, in meters, traveled by a moving particle in tt seconds is given by d(t)=9t(t+6) Estimate the instantaneous velocity at t=2t=2 seconds using difference quotients with h=0.1h=0.1, 0.010.01, and 0.0010.001. If necessary, round the difference quotients to no less than six decimal places and round your final answer to the nearest integer.
A particle is moving along a line with position given by s(t)=t3−(9/2(t2 ))+6t−5 measured in meters, with t≥0 measured in minutes, and the positive direction meaning forward. a) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving forward. b) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving backwards. c) Find the total distance travelled by the particle. d) Find the equation of the acceleration at time t. Give the units, and find the times when the velocity of the particle is not changing. e) Find the displacement.
In units of nanoseconds, how accurate does the measurement of the time delay have to be to determine your position to within an accuracy of 30 m?
The displacement of an object moving under uniform accelerationis some function of time and the acceleration. Supposewe write this displacement as s = kamtn, where k is adimensionless constant. Show by dimensional analysis that thisexpression is satisfied if m = 1 and n = 2. Can the analysis givethe value of k?
An object's velocity as a function of time in one dimension is given by the expression; v(t) = 3.8t + 6.68 where are constants have proper SI Units. At what time is the object's velocity 61.2 m/s?
What is the average velocity between t=1s and t=2s for the function x=3t3+2t2-10t+5?
Bacteria move back and f01th by using their flagella (Structures that look like little tails). Speeds of up to 50m/s(50106m/s) have been observed. The total distance traveled by a bacterium is large for its size, while its displacement is small. Why is this?
The instantaneous speed of a particle moving along one straight line isv(t) = ate−5t, where the speed v is measured in meters per second, the time t is measured in seconds, and the magnitude of the constant a is measured in meters per second squared. What is its maximum speed, expressed as a multiple of a? (Do not include units in your answer.)
Jane is driving down the road at 20.0 m/s looking for a house address. when she sees the house, she slams on her brakes. If her reaction time is 1.20s and her car deaccelerates at 3.50 m/s^2, how far past the point where she first saw the house did her car come to rest? I feel like I need to use one of the 4 kinematics equations, but none seem to be giving me the correct answer when I plug in my numbers :(
The position of a particle along a coordinate axis at time t (in seconds) is given by s(t)=−3t2−4t+1 (in meters). Find the function that describes its acceleration at time t.
A car travels a distance d = 29 m in the positive x-direction in a time of t1 = 21.5 s. The car immediately brakes and comes to rest in t2 = 7 s.Randomized Variablesd = 29 mt1 = 21.5 st2 = 7 s What was the acceleration, in meters per second squared, during time interval t1, assuming the car started from rest and moved with a constant acceleration? Using the result from part (c), what was the car's horizontal component of acceleration, in meters per second squared, during the braking period?
Using the equation Ek = mv2/2 , write an equation to solve for (a) m and (b) v.