(1) A particle has an initial displacement of s= 30 metres when t = 0. The velocity of the particle is v= 6t² - 216t+1944 m/s (t > 0). (a) Find the displacement of the particle at time t. (b) Find the acceleration of the particle at time t. (c) What is the acceleration and displacement when v = 0?
(1) A particle has an initial displacement of s= 30 metres when t = 0. The velocity of the particle is v= 6t² - 216t+1944 m/s (t > 0). (a) Find the displacement of the particle at time t. (b) Find the acceleration of the particle at time t. (c) What is the acceleration and displacement when v = 0?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(1) A particle has an initial displacement of s = 30 metres when t = 0. The velocity
of the particle is v= 6t² - 216t+ 1944 m/s (t > 0).
(a) Find the displacement of the particle at time t.
(b) Find the acceleration of the particle at time t.
(c) What is the acceleration and displacement when v = 0?
Expert Solution

Step 1
We know that the velocity is defined as the rate of change of the position of the object with respect
to the time.
Similarily, the acceleration is defined as the rate of change of the velocity of the object with respect
to the time.
Step by step
Solved in 5 steps

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