number 1 please 3.7 EXERCISES 1-4 A particle moves according to a law of motion
ID: 2887971 • Letter: N
Question
number 1 please
3.7 EXERCISES 1-4 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 I second (h) Graph the position, velocity, and acceleration functions (i) When is the particle speeding up? When is it slowing down? 91 t2 + 9 I. f(r) = 13-812 + 24tExplanation / Answer
1. f(t) = t3-8t2+24t
a. Velocity,v(t)=f'(t) =3t2-16t +24
b.v(1) = 3 -16+24= 7ft/sec
c.f(t)=0
t3-8t2+24t=0
t(t-5)(t-3)=0
t=0,3,5 sec
d. v(t)>0
3t2-16t +24>0
(-infinity,infinity)
e.f(6)=63-8(62)+24(6) =72 feet
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.