2.7 EXERCISES 1-4 A particle moves according to a law of motion s f(t), t 0, where t is measured in seconds ands 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 0t 6. (i) When is the particle speeding up? When is it slowing down? 1. f(t) t3-9t224t 2. f(t) 0.01t - 0.04t3
2.7 EXERCISES 1-4 A particle moves according to a law of motion s f(t), t 0, where t is measured in seconds ands 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 0t 6. (i) When is the particle speeding up? When is it slowing down? 1. f(t) t3-9t224t 2. f(t) 0.01t - 0.04t3
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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2.7
Can you show me the steps to solve step e?
1) f(t) = t^3 - 9t^2 +24t
e) Find the total distance travelled during the first 6 seconds.
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