1. The position of a particle which moves along the straight line is define by the relation x(t) = t – 6t? – 15t + 40 where x and t are expressed in meters and seconds respectively. Note that the coefficients of t have dimensions accordingly. (a) Determine when the velocity of the particle is zero. (b) acceleration is zero. Consider that at the starting point timet = 0 sec. Calculate the position vector and distance travelled by the particle when the (c) Does the particle move at constant velocity or constant acceleration? Justify your answer.

1. The position of a particle which moves along the straight line is define by the relation x(t) = t – 6t? – 15t + 40 where x and t are expressed in meters and seconds respectively. Note that the coefficients of t have dimensions accordingly. (a) Determine when the velocity of the particle is zero. (b) acceleration is zero. Consider that at the starting point timet = 0 sec. Calculate the position vector and distance travelled by the particle when the (c) Does the particle move at constant velocity or constant acceleration? Justify your answer.

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

Car A is moving with constant speed v on the straight and level highway. The police officer in the stationary car P attempts to measure the speed v with radar. If the radar measures “line-of sight” velocity, what velocity v' will the officer observe? Evaluate your general expression for the values v = 74 mi/hr, L = 605 ft, and D = 19 ft, and draw any appropriate conclusions.
If a ball is dropped from a height of 5 feet, determine velocity of the ball just before impact with the ground. Let positive y be upward, so the ball will have negative velocity. Provide your answer in ft/sec, but do not include units in your submittal.
1. The motion of a particle is defined by the relation x = t^3 - 9t^2 + 24t - 8, where x and t are expressed in inches and seconds, respectively. Determine: 1. when the velocity is zero in seconds, 2. the position in inches, 3. and the total distance traveled in inches when the acceleration is zero.
1. the motion of a particle is defined by the relation x=3t^3 -6t^2 -12t +5, where x and t are expressed in m and sec, respectively. a) determine the average velocity during the time interval 1
Problem No. 1 Traveling with an initial speed of 70 km/h, a car accelerates at 6000 km/h2 along a straight road. How long will it take to reach a speed of 120 km/h? Also, through what distance does the car travel during this time? Problem No. 2 The acceleration of a particle along a straight line is defined by a = (2t - 9) m/s2, where t is in seconds. At t = 0, s = 1 m and v = 10 m/s. When t = 9s, determine (a) the particle’s position, (b) the total distance traveled, and (c) the velocity
A motorboat and its load weigh 2150 N. Assume that the propeller force is constant and equal to 110N, and the water resistance is numerically equal to 6.7V, where V is the speed at any instant time in m/sec. If the boat starts from rest, determine its distance at the end of 10 seconds.
A particle moves along a path according to the equations x = 9 - t^4 /9 and y = t^2 /3 where x and y are in meters and t is in seconds. Determine the magnitude of the acceleratiom (in m2/s) of the particle in 2 seconds. Round off only on the final answer expressed in three decimal places.
A particle travels along a straight line with a velocity of v = (4t - 3t2) m/s, where t is in seconds.Determine the position of the particle when t = 4 s. s = 0 when t = 0. SHOW COMPLETE SOLUTION AND ILLUSTRATION FINAL ANSWER IN 3 DECIMAL PLACES
Include free body diagrams: The motion of a particle is defined by the relation x = t2 - (t-2)3, where x and t are expressed in meter and seconds respectively. Determine: a. the total distance travelled by the particle from t=0 to t =4s. b. the two positions at which the velocity is zero
A particle moves along a straight line such that its position is defined by s=(3^t3+4^t2−11^t−10)m. Determine the average speed of the particle when t = 2 s. Express your answer to three significant figures and include the appropriate units.
A snowboarder starts from rest at the top of a double black diamond hill. As she rides down the slope, GPS coordinates are used to determine her displacement as a function of time: x = 0.5t^3 + t^2 + 2t, where x and t are expressed in feet and seconds, respectively. x is measured along the surface of the hill. Determine the position, velocity, and acceleration of the boarder when t = 5 seconds.
Tests reveal that a normal driver takes about 0.75 s before he or she can react to a situation to avoid a collision. It takes about 3 s for a driver having 0.1% alcohol in his system to do the same. If such drivers are traveling on a straight road at 30 mph (44 ft/s) and their cars can decelerate at 2 ft/s^2, determine the shortest stopping distance d for each from the moment they see the pedestrians.