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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)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 43E
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main step only ( briefly) Short explanation needed 5 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 < t ≤ 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) Sketch a speed-time graph for the particle in the interval 0 ≤ t ≤ 60. (iii) Find the total distance travelled by the particle in the interval 0 ≤ ≤ 60. Answer: 5 i 20ms¹,40ms", 10ms (ii) speed (ms"') 40 30 20 10 0 0 20 (iii) 1550 m. 40 60 time(s)
Transcribed Image Text:main step only ( briefly) Short explanation needed 5 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 < t ≤ 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) Sketch a speed-time graph for the particle in the interval 0 ≤ t ≤ 60. (iii) Find the total distance travelled by the particle in the interval 0 ≤ ≤ 60. Answer: 5 i 20ms¹,40ms", 10ms (ii) speed (ms"') 40 30 20 10 0 0 20 (iii) 1550 m. 40 60 time(s)
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