The acceleration of a particle moving along the x-axis is given by the relation a = kt m/s?.,where k is a constant, and i is in seconds. Supposed that v = -10 m/s, x = x, when / = 0 and x = 0, v = 0when t = 6 s, determine (a) the value of the constants k and x,, (b) the position as a function of t.%3D

Velocity at any particle or a body is defined as the rate of change of displacement(x) in a…

The acceleration of a particle moving along the x-axis is given by the relation a = kt² m/s?, where k is a constant, and t is in seconds. Supposed that v = -10 m/s, x = x, when t = 0 and x = 0, v = 0 when t = 6 s, determine (a) the value of the constants k and x,, (b) the position as a function of 1.

The acceleration of a particle moving along the x-axis is given by the relation a = kt² m/s?, where k is a constant, and t is in seconds. Supposed that v = -10 m/s, x = x, when t = 0 and x = 0, v = 0 when t = 6 s, determine (a) the value of the constants k and x,, (b) the position as a function of 1.

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

Based on observations, the speed of a jogger can be approximated by therelation v = 6.4 (1 − 0.03x)0.4 , where v and x are expressed in mi/h and miles,respectively. Knowing that x = 0 at t = 0, determine (a) the distance the jogger hasrun when t =1.5 h, (b) the jogger’s acceleration in ft/s2 at t = 0, (c) the time requiredfor the jogger to run 5 mi. please show every single step in the process thanks
To be able to solve rectilinear problems with variable functions. A particle is moving along a straight line such that its speed is defined as v=(−s2) m/s, where s is in meters. If when s = 3 m, determine the velocity and acceleration as functions of time.
A particle moves along a straight line in such a manner that its displacement, at any instant, from a fixed point on its path is given by the equation s = (t3 + 6t2 – 4t)/10. Determine the distance (in meter) traveled by the particle during the 10th sec.
A particle is moving along a straight line with a = (12t - 3t^0.5) ft/s^2, where t is in seconds. Determine the velocity and position of the particle as a function of time. When t = 0, v = 0, and s = 15ft. Please show full solution, thanks!
An airport shuttle train travels between two terminals that are 1.6 mi apart. To maintain passenger comfort, the acceleration of the train is limited to ±4 ft/s2 , and the jerk, or rate of change of acceleration, is limited to ±0.8 ft/s2 per second. If the shuttle has a maximum speed of 20 mi/h, determine (a) the shortest time for the shuttle to travel between the two terminals, (b) the corresponding average velocity of the shuttle.
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. (x=___ft; v=___ft/s; a=___ft/s^2
A particle is observed to start at rest and acceleration at a=30+2t, where t is in seconds, until its velocity is 39.20 m/s. It then hits an obstruction and the acceleration is given by a= -0.003v2, until the velocity decreases to 98.20 m/s. Determine the total distance the particle travelled, and the total time of travel.
A particle is moving along a straight line such that its position is defined by s = (10t? + 20)mm, where t is in seconds. Determine (a) the displacement of the particle during the timeinterval from t = 1 s to t = 5 s, (b) the average velocity of the particle during this timeinterval, and (c) the acceleration when t = 1 s. Please Provide FBD/s
The velocity of a particle traveling in a straight line is given by v=(6t−3t2)v=(6t−3t2) m/sm/s, where tt is in seconds. Suppose that s = 0 when t = 0. Determine the particle's deceleration when t = 4.7 s
A race car accelerates uniformly from 20 m/s to 50 m/s in 3 sec. Determine the acceleration of the car ang the distance traveled.
The motion of a particle is defined by the function x = at^3 - bt^2 - ct + d where x is in centimeters and t is in seconds Determine the position of the particle when its acceleration is 11.7m/s^2 if a = 2.9, b = 3.7, c = 5.5, and d = 15.4? Round off the final answer to two decimal places.
Dynamics The acceleration of a particle as it moves along a straight line is given by a=(2t−1)m/s2, where t is in seconds. Suppose that s = 9 m and v = 6 m/s when t = 0. Determine the total distance the particle travels during the 6-s time period.