A motorboat cuts its engine when its speed is 10.7 m/s and coasts to rest. The equation describing the motion of the motorboat during this period is v = vie-ct, where v is the speed at time t, vi is the initial speed at t = 0, and c is a constant. At t = 19.5 s, the speed is 5.00 m/s. a) Find the constant c. b) What is the speed at t = 40.0 s?

A motorboat cuts its engine when its speed is 10.7 m/s and coasts to rest. The equation describing the motion of the motorboat during this period is v = vie-ct, where v is the speed at time t, vi is the initial speed at t = 0, and c is a constant. At t = 19.5 s, the speed is 5.00 m/s. a) Find the constant c. b) What is the speed at t = 40.0 s?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 31PQ: A particles velocity is given by vy(t)=atj, where a = 0.758 m/s2 is a constant. a. Describe the...

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Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

A motorboat cuts its engine when its speed is 10.7 m/s and coasts to rest. The equation describing the motion of the motorboat during this period is v = v_ie^-ct, where v is the speed at time t, v_i is the initial speed at t = 0, and c is a constant. At t = 19.5 s, the speed is 5.00 m/s.

a) Find the constant c.

^{b) What is the speed at t = 40.0 s?}

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