Rolling a Ball

Bearing

A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the plane is . The distance (in meters) the ball bearing rolls in t seconds is .

(a) Determine the speed of the ball bearing after t seconds.

(b) Complete the table and use it to determine the value of that produces the maximum speed at a particular time.

θ

0

π / 4

π / 3

π / 2

2 π / 3

3 π / 4

π

s ' ( t )

answer

watching

views

For unlimited access to Homework Help, a Homework+ subscription is required.

You have 0 free answers left.
Get unlimited access to 3.8 million step-by-step answers.

Get unlimited access

Already have an account? Log in

Rico Jay LaxaLv10

18 Jul 2020

Unlock all answers

Get 1 free homework help answer.

Already have an account? Log in

Related questions

You want to toss an object to a friend who is riding a ferriswheel. The following parametric equations give the path of thefriend R1(t) and path of object R2(t).Distance is measured in meters and time is measured in seconds.

r1(t)=15(sin((Pi*t)/10))i + (16-15(cos((Pi*t)/10))j

R2 (t)= (22-8.03(t-t0))i +(1+11.47(t-t0)- 4.9(t-t0)^2)j

question:
a. identify where your friend is at t=0.
b. where are you standing in relation to the bottom, center of the ferris wheel?
what does t0 represent in r2(t)?
c. find the speed and angle of inclination (in degrees) at which the object is thrown.
find the value of t0 in order for your friend to catch the ball, round t0 to the nearest tenth. explain exactly what you should do for your friend to catch the ball.
d. find the approximate time your friend should be able to catch the object. approximate the speed of your friend and the object at that time.

Weekly leaderboard

Home

Homework Help 3,900,000

Calculus 630,000

Unlock all answers

Related textbook solutions

Calculus

Single Variable Calculus: Early Transcendentals

CALCULUS:EARLY TRANSCENDENTALS

Related questions

Weekly leaderboard