A car starts from rest and travels along a straight track such that it accelerates at 8 m/s2for 10 s and then decelerates at 1.27m/s2. Determine the distance (in m) travelled by the car in t = 25 seconds. Round off only on the final answer expressed in threedecimal places.

Acceleration - Acceleration is the rate of change of velocity with respect to time. It is denoted by…

Answered: Determine the distance (in m) travelled…

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

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A particle is observed to start at rest and accelerates at a = 30 + 2t, where t is in seconds, until its velocity is 399.20 m/s. It then hits an obstruction and the acceleration is given by a = -0.003v², until the velocity decreases to 99.20 m/s. Determine the total distance the particle travelled, and the total time of travel.
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 an initial velocity of 6m/s when it is subjected to a deceleration of a = (-1.5v^1/2) m/s^2, where v is in m>s. Determine how far it travels before it stops. How much time does this take?
The motion of a particle is defined by the relation x = 6t4 + 8t3 - 14t2 + 10t + 16 where x and t are expressed in centimeter and seconds, respectively. Determine the acceleration (in cm/s2 ) of the particle at t = 7.94 seconds. Round off your final answer to three decimal places.
A train travels between two stations 792 m apart in a minimum time of 41 seconds. If the train accelerates and decelerates at 2.4 m/s, starting from rest at the first station and coming to a stop at the second station, what is the maximum speed?
The motion of a particle is defined by the relation x = at2 - b(t -2)3 where x and t are expressed in centimeter and seconds, respectively. Determine the distance (in cm) travelled by the particle at t = 3.14 seconds if a = 1 and b = 1. Round off your final answer to three decimal places.
The motion of a particle is defined by the relation x=3t3-6t2-12t+5, where x and t are expressed in m and sec, respectively. Determine the average speed during the time interval 1 less or equal than t less or equal than 4
The motion of a particle is defined by the relation x = 6t2 - 8 + 40cosπt, where x and t are expressed in meters and seconds, respectively. Determine the position, the velocity, and the acceleration when t = 6 s
A motorboat and its load weigh 980 kg. Assume that the propeller force is constant and equal to 24 kg, and the water resistance is numerically equal to 1.5v kg, where v is the speed at any instant time in m/sec. If the boat starts from rest, determine its speed at the end of 10 seconds. Answer is 2.23 m/s
The motion of a particle is given by :V = 3t2+6, where (V) is the velocity in m/s and (t) is the time in seconds. The velocity of the particle at t=1 second is Select one: 6 m/s2 6 m/s 0 9 m/s
The position of a particle in millimeters is given by s = 70 - 17t + t2 where t is in seconds. Plot the s-t and v-t relationships for the first 10 seconds. Determine the net displacement Δs during that interval and the total distance D traveled. By inspection of the s-t relationship, what conclusion can you reach regarding the acceleration?
11.2 The displacement of a particle is given by s = 2t3 - 43t2 + 118t - 64 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 19 seconds of motion. After you have made the plots, answer the questions.

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