Question

Let r(t) = 1/2t ,4t^1/2 ,2t be a position function for some object. (a) (2 pts)...

Let r(t) = 1/2t ,4t^1/2 ,2t be a position function for some object.

(a) (2 pts) Find the position of the object at t = 1. (b) (6 pts) Find the velocity of the object at t = 1.

(c) (6 pts) Find the acceleration of the object at t = 1. (d) (6 pts) Find the speed of the object at t = 1.

(e) (15 pts) Find the curvature K of the graph C determined by r(t) when t = 1.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The position of an object at time t is given by: r(t)=e^−t i + e^t j...
The position of an object at time t is given by: r(t)=e^−t i + e^t j − t√2 k, 0≤ t<∞. (a) Determine the velocity v and the speed of the object at time t. (b) Determine the acceleration of the object at time t. (c) Find the distance that the object travels during the time interval 0≤ t<ln3. Answers: (a) = velocity: v =−e^−t i + e^t j − √2 k; speed: ||v||= e^t + e^−t, (b) = acceleration:...
Find the speed of the particle with position function r(t) = (t2 − 2t)⃗i − 2t⃗j...
Find the speed of the particle with position function r(t) = (t2 − 2t)⃗i − 2t⃗j + (t2 − t)⃗k when t = 0.
a) Given s(t)= -10t^2+2t+5 where s(t) is the position of an object in feet and the...
a) Given s(t)= -10t^2+2t+5 where s(t) is the position of an object in feet and the variable “t” is in seconds, find each of the following: A) Function for the velocity B) Function for the Acceleration C) The Velocity and Acceleration at t = 2 seconds b) A rectangle is to have a perimeter of 60 ft. Find the dimensions of the rectangle such that the dimensions yield maximum area. (please show all work possible)
The position (in meters) of an object moving in a straight line s(t)=√ 3t+1 −2t^2+1 where...
The position (in meters) of an object moving in a straight line s(t)=√ 3t+1 −2t^2+1 where t is measured in seconds. (a) Find the average velocity on [0,1]. (b) Find the instantaneous velocity at t=1. (c) Find the acceleration at t=1.
1. A plane curve has been parametrized with the following vector-valued function, r(t) = (t +...
1. A plane curve has been parametrized with the following vector-valued function, r(t) = (t + 2)i + (-2t2 + t + 1)j a. Carefully make 2 sketches of the plane curve over the interval . (5 pts) b. Compute the velocity and acceleration vectors, v(t) and a(t). (6 pts) c. On the 1st graph, sketch the position, velocity and acceleration vectors at t=-1. (5 pts) d. Compute the unit tangent and principal unit normal vectors, T and N at...
Letr(t)=(4t2+1)i+2tjfor−2≤t≤2. (a) (10 pts) Draw a sketch of the curve C determined by r(t). (b) (5...
Letr(t)=(4t2+1)i+2tjfor−2≤t≤2. (a) (10 pts) Draw a sketch of the curve C determined by r(t). (b) (5 pts) Plot r(0) and label its endpoint P. (c) (10 pts) Plot the vector tangent to C at P . (d) (10 pts) Find the equation of the line tangent to C at P (you may give this parametrically or not). (e) (5 pts) Find the curvature K at P . (f) (5 pts) Find the radius of curvature ρ at P. (g) (5...
Consider the parameterized motion given by r(t)=3t^2i-2t^2j+(6-t^3)k. Where is the object at time t=1? What is...
Consider the parameterized motion given by r(t)=3t^2i-2t^2j+(6-t^3)k. Where is the object at time t=1? What is the velocity at t=1? What is the speed at t=1? How far does the object move from 0≤t≤1? Round your answer to 2 decimal places. * r, i, j, and k should all have vector arrows above them
Let C be the plane curve determined by the function r(t)=(3-t^2)i+(2t)j where -2<=t<=2. -Find T(t), T'(t),...
Let C be the plane curve determined by the function r(t)=(3-t^2)i+(2t)j where -2<=t<=2. -Find T(t), T'(t), the magnitude of T'(t), and N(t). Please show work, Thank you!
1. The position of an object along the x-axis in meters is given by: x(t) =...
1. The position of an object along the x-axis in meters is given by: x(t) = 1 + 2t + 3t 2 ( a) Plot x(t) as a function of t from t = 0 s to 10 s, (b) At 2 s, what is position, speed, and acceleration of the object?
Q1 If r(t) = (2t2 - 5)i + (t - 2)j + (4t + 10)k, find...
Q1 If r(t) = (2t2 - 5)i + (t - 2)j + (4t + 10)k, find the curvature k(t) at t = 1. 21733 3433 4173333 3433 Q2 Find the curvature k ( t ) for r ( t ) = 8 sin ⁡ t i + 8 cos ⁡ t j Group of answer choices 1 0 −sin2⁡t+cos2⁡t
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT