A particle moves according to a law of motion s = f (t), t 0, where
Question:
A particle moves according to a law of motion s = f (t), t ≥ 0, where t is measured in seconds and s in feet.
(a) Find the velocity at time t.
(b) What is the velocity after 1 second?
(c) When is the particle at rest?
(d) When is the particle moving in the positive direction?
(e) Find the total distance traveled during the first 6 seconds.
(f ) Draw a diagram like Figure 2 to illustrate the motion of the particle.
(g) Find the acceleration at time t and after 1 second.
(h) Graph the position, velocity, and acceleration functions for 0 ≤ t ≤ 6.
(i) When is the particle speeding up? When is it slowing down?
f (t) = sin(πt/2)
Step by Step Answer:
a s ft sint2 in feet vt f t cost2 2 2 cost2 in fts b v1 2 cos 2 2 0 0 fts c The particle is at rest ...View the full answer
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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