main step only ( briefly) Short explanation needed5 A particle starts from rest at time t = 0 andmoves in a straight line, accelerating as follows:a = 2;0 ≤ t ≤ 10a = 0.5;10 < t ≤ 50a = -3;50 < t ≤ 60where a is the acceleration in ms2 and t is thetime in seconds.where a is the acceleration in ms² and t is thetime in seconds.(i) Find the speed of the particle whent = 10,50 and 60.(ii) Sketch a speed-time graph for theparticle in the interval 0 ≤ t ≤ 60.(iii) Find the total distance travelled by theparticle in the interval 0 ≤ ≤ 60.Answer: 5 i 20ms¹,40ms",10ms(ii)speed(ms"')403020100020(iii) 1550 m.4060 time(s)

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A particle starts from rest at time t= 0 and moves in a straight line, accelerating as follows: a = 2; 0≤t≤10 a = 0.5; 10 < t < 50 a= -3; 50 <1 ≤ 60 where a is the acceleration in ms2 and t is the time in seconds. where a is the acceleration in ms2 and t is the time in seconds. (i) Find the speed of the particle when t = 10,50 and 60. (ii) (iii) Sketch a speed-time graph for the particle in the interval 0 ≤ ≤ 60. Find the total distance travelled by the particle in the interval 0 ≤ ≤ 60. Answer: 5 i 20 ms¹,40ms", 10ms¹ (ii) speed 40 30 20 10 0 0 20 (iii) 1550 m. 40 60 time (s)

A particle starts from rest at time t= 0 and moves in a straight line, accelerating as follows: a = 2; 0≤t≤10 a = 0.5; 10 < t < 50 a= -3; 50 <1 ≤ 60 where a is the acceleration in ms2 and t is the time in seconds. where a is the acceleration in ms2 and t is the time in seconds. (i) Find the speed of the particle when t = 10,50 and 60. (ii) (iii) Sketch a speed-time graph for the particle in the interval 0 ≤ ≤ 60. Find the total distance travelled by the particle in the interval 0 ≤ ≤ 60. Answer: 5 i 20 ms¹,40ms", 10ms¹ (ii) speed 40 30 20 10 0 0 20 (iii) 1550 m. 40 60 time (s)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.2: The Natural Exponential Function

Problem 25E

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