(c) A particle is moving such that its instantaneous speed as a function of time t (s) is given as v(t) = 6t² + 2t+4 And its position at t=0, is s(0)=0 m. (i) Using calculus, determine an expression for the distance travelled by the particle s(t) and use it to find the distance travelled when t=5 s. Type your answer here: (ii) Using calculus, determine the distance travelled during the interval t-3 s to 6 s. Type your answer here: (iii) Using calculus, derive an expression for the acceleration a(t) of the particle and use it to find the acceleration of the particle at t=5 s. Type your answer here:
(c) A particle is moving such that its instantaneous speed as a function of time t (s) is given as v(t) = 6t² + 2t+4 And its position at t=0, is s(0)=0 m. (i) Using calculus, determine an expression for the distance travelled by the particle s(t) and use it to find the distance travelled when t=5 s. Type your answer here: (ii) Using calculus, determine the distance travelled during the interval t-3 s to 6 s. Type your answer here: (iii) Using calculus, derive an expression for the acceleration a(t) of the particle and use it to find the acceleration of the particle at t=5 s. Type your answer here:
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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Transcribed Image Text:(c) A particle is moving such that its instantaneous speed as a
function of time t (s) is given as
v(t) = 6t² + 2t+4
And its position at t=0, is s(0)=0 m.
(i) Using calculus, determine an expression for the distance
travelled by the particle s(t) and use it to find the distance
travelled when t=5 s.
Type your answer here:
(ii) Using calculus, determine the distance travelled during the
interval t=3 s to 6 s.
Type your answer here:
(iii) Using calculus, derive an expression for the acceleration
a(t)
of the particle and use it to find the acceleration of
the particle at t=5 s.
Type your answer here:
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