Question

A mole moves in its tunnel and its velocity is described with the equation v(t) =...

A mole moves in its tunnel and its velocity is described with the equation
v(t) = 0,15t

Homework Answers

Answer #1

a) Here I am assuming v is in m/s unit.

Spped is zero twice one at t=0s, and one at t=4.687s

_________________________________________________

b)

for maxima of a(t),

so, t=0,

highest acceleration is, amax=0.15 m/s2 at t=0s.

__________________________________________________

c)

__________________________________________________________________________

d)

for maxima of v,

t=2.344 s

_______________________________________________________________

e) It will start returning when v=0 at time t=4.687s

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A particle moves along a line with velocity v(t)= t-ln(t^2+1). What is the maximum velocity on...
A particle moves along a line with velocity v(t)= t-ln(t^2+1). What is the maximum velocity on the interval [0,2]?
Question 4. An object moves in a straight line with a velocity of v(t) = ((t...
Question 4. An object moves in a straight line with a velocity of v(t) = ((t − 2)(t − 3)). a) What is the total displacement on the time interval [0, 5]? b) What is the total distance traveled on the time interval [0, 5]?
A particle moves such that its velocity at time  is given by v=4t3i+5t4j+3t2k If its position x...
A particle moves such that its velocity at time  is given by v=4t3i+5t4j+3t2k If its position x at time t=0 is given by x(0)=i+j+k , what is the position of the particle at time t?
A particle that moves along a straight line has velocity v ( t ) = t^2e^−...
A particle that moves along a straight line has velocity v ( t ) = t^2e^− 2t meters per second after t seconds. How many meters will it travel during the first t seconds (from time=0 to time=t)?
A particle moves along a line with velocity v(t)=(3 - t)(2+t), find the distance traveled during...
A particle moves along a line with velocity v(t)=(3 - t)(2+t), find the distance traveled during the time interval [0, 1].
Practice Derivatives and integrals. A particle’s velocity is described by the function v = ( t^2...
Practice Derivatives and integrals. A particle’s velocity is described by the function v = ( t^2 – 7t + 10) m/s, where t is in s. a) Graph the velocity function for t in the interval 0s-6s. b) At what times does the particle reach its turning points? c) Find and graph the position function x (t). d) Find and graph the acceleration function a(t). e) What is the particle’s acceleration at each of the turning points?
A particle's velocity along the x-axis is described by v(t)= At + Bt2, where t is...
A particle's velocity along the x-axis is described by v(t)= At + Bt2, where t is in seconds, v is in m/s, A= 0.85 m/s2, and B= -0.69 m/s3. Acceleration= -0.53 m/s2 @ t=0 and the Displacement= -2.58 m b/w t=1s to t=3s. What is the distance traveled in meters, by the particle b/w times t=1s and t=3s?
A particles velocity along the x-axis is described by v(t) = At + Bt^2, where t...
A particles velocity along the x-axis is described by v(t) = At + Bt^2, where t is in seconds, velocity is in m/s^2, A = 1.18m/s^2 and B = -0.61m/s^3. What is the distance traveled, in m, by the particle between times t0=1.0 and t1=3.0? please show steps and calculations
A particle that moves along a straight line has velocity v(t)=4t^(2)e^(-t) meters per second after t...
A particle that moves along a straight line has velocity v(t)=4t^(2)e^(-t) meters per second after t seconds. How far will it travel during the first t seconds?
An object moves in a coordinate system with velocity vector v(t) = < sqrt(1+2t), tcos(?t), tsin(?t)...
An object moves in a coordinate system with velocity vector v(t) = < sqrt(1+2t), tcos(?t), tsin(?t) > for t >= 0. ?=pi a. Find the equation of the tangent line to the objects path when it reached the origin. b. When the object reached the origin, with what angle did it strike the xy-plane? c. Give the (unit) tangent, (unit) normal, and binormal directions for the object when it hits the xy-plane. d. Give a vector-valued function describing the objects...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT