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?

Question
Asked Oct 9, 2019
236 views

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?

check_circle

Expert Answer

Step 1

a)

Equation for speed is,

help_outline

Image Transcriptionclose

ve** att 0s Substituing the value =10.7m/s

fullscreen
Step 2
help_outline

Image Transcriptionclose

at 19.5s i95=1e°19.5a)

fullscreen
Step 3

Substituting the...

help_outline

Image Transcriptionclose

5.00m/s (10.7m/s)e"19.5) 5.00m/s 1 510.7m/s 0.467

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Kinematics

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: For an object in uniform circular motion, on what parameters does the determination of the centripet...

A: Click to see the answer

question_answer

Q: Water drops fall from the edge of a roof at a steady rate. A fifth drop starts to fall just as the f...

A: Let T be the time difference between each drop and h be the height of the edge of the roof from grou...

question_answer

Q: 6. Assuming that the Moon is revolving around the center of the Earth (? = 3.84 × 108m) and itsorbit...

A: Write the expression for orbital velocity.

question_answer

Q: A plane accelerates from rest at a constant rate of 5.00 m/s2 along a runway that is 1800 m long. As...

A: Given,

question_answer

Q: An electron moving parallel to a uniform electric field increases its speed from 2.0 × 10^7 m/s to 4...

A: Write the expression of velocity as a function of position. 

question_answer

Q: Moments of Inertia:  1. If you have a rod with mass M and total length L rotating about an axis thro...

A: Consider a thin rod of mass M and length L and linear mass density λ rotating about an axis through ...

question_answer

Q: what is dry wood on wood coefficient of friction

A: Co-efficient of friction is defined as,

question_answer

Q: A 1.00 kg ball is thrown directly upward with an initial speed of 16.0 m/s.   A graph of the ball's ...

A: Given values:Mass of the ball, m = 1.0 kg Initial upward velocity, u = 16.0 m/sAt maximum height, fi...

question_answer

Q: A rescue plane spots a pair of lost hikers in the wilderness. The plane is traveling horizontally at...

A: Given,