(5) The displacement (in metres) of a particle at time t seconds is given by s = 4000t² - 10t¹ for 0 ≤ t ≤ 20. = d. (a) Find the velocity of the particle v = d's dt2. (b) Find the acceleration of the particle a = (c) What is the displacement, velocity and acceleration at time t = 10 seconds?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(5) The displacement (in metres) of a particle at time t seconds is given by
s =
4000t² 10t4 for 0 ≤ t ≤ 20.
ds
(a) Find the velocity of the particle v = dt*
(b) Find the acceleration of the particle a =
(c) What is the displacement, velocity and acceleration at time t = 10 seconds?
d² s
dt2.
Transcribed Image Text:(5) The displacement (in metres) of a particle at time t seconds is given by s = 4000t² 10t4 for 0 ≤ t ≤ 20. ds (a) Find the velocity of the particle v = dt* (b) Find the acceleration of the particle a = (c) What is the displacement, velocity and acceleration at time t = 10 seconds? d² s dt2.
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