09/04/13

What was its initial speed?

A ball is thrown straight up, it rises 12.5 m before it starts falling back down. a) What was its initial speed? b) How much time is it in the air?

09/04/13

How much time?

A truck falls off a cliff. If the cliff is 33.5 m high, how much time for the truck to reach the bottom?

09/04/13

How fast is it going?

A ball is thrown down off the cliff at 12 m/s. How fast is it going 3.5 s later?

09/04/13

What is its velocity?

  A ball is thrown up into the air at an initial velocity of 50.0 m/s. What is its velocity after 2.50 seconds?

09/02/13

What math subject is after complex analysis?

  What math subject comes after Complex Analysis for physics and electrical engineering majors?

09/02/13

Find the general solution?

Find the general solution of x'=(3, 2, -2, -2)x. (This is a matrix, 3 and 2 on the left, -2 and -2 on the right.)   Answer: x=c1(1, 2)e^-t+c2(2, 1)e^2t   After c1 and c2 are the matrixes, 1 on... more

09/01/13

How long will it take?

  With an average acceleration of -1.2 m/s^2, how long will it take a cyclist to bring a bicycle with an initial velocity of 6.5 m/s to a complete stop?

09/01/13

How long does it take?

  A car travelling at 7.0 m/s accelerates uniformly at 2.5 m/s^2 to reach a velocity of 12.0 m/s. How long does it take for this acceleration to occur?

09/01/13

What is the velocity?

  A bicycle accelerates from rest at 0.50 m/s^2. What is the velocity of the bicycle after 6.0 s?

08/31/13

How to solve for Y(s)?

Y(s)(s^2+s+5/4)=1/s-e^(-pi*s)/s+s

08/31/13

What's the acceleration?

What's the acceleration of a car that starts at rest and has a velocity of 25 m/s in 10 seconds?

08/30/13

How fast were you traveling?

Suppose you were able to drive 300 kilometers in 6.0 hours at a constant speed. a) How fast were you traveling precisely 4.0 hours into your trip? b) Where were you located precisely 4.0 hours into... more

08/30/13

What is your average speed?

You run 100 meters at a speed of 5.0 m/s and then you walk 100 meters at a speed of 1.0 m/s. What is your average speed for this entire exercise period?

08/30/13

What is your average speed?

You run for 100 seconds at a speed of 5.0 m/s and then you walk for 100 seconds at a speed of 1.0 m/s. What is your average speed?

08/25/13

Find the laplace transform?

upi(t). The pi is subscript.

08/24/13

Find the inverse Laplace transform?

Y(s)=α/((s^2+2s+2)(s^2+α^2))

08/23/13

Express the solution?

Express the solution of y"+ω^2*y=g(t); y(0)=0, y'(0)=1 in terms of a convolution integral. Answer: y=(1/ω)sin(ωt)+(1/ω)∫ sin ω (t-torque) g(torque) d(torque) from 0 to t.

Find the inverse Laplace transform?

Find the inverse Laplace transform of F(s)=G(s)/(s^2+1) by using the convolution theorem.  

08/20/13

Find the Laplace transform?

Find the Laplace transform of f(t)=∫ e^(-(t-torque)) sin torque d*torque from 0 to t. What's the first function? I know that the second function is sin(t).

08/18/13

Find the inverse laplace transform?

For 1/((s^2+1)(s^2+2s+3)).

08/17/13

Find the inverse Laplace transform?

For e^(-10s)/(s(s^2+3s+2)). The answer is u10(t)[(1/2)+(1/2)e^(-2(t-10))-e^(-(t-10))]

08/16/13

Find the inverse Laplace transform?

e^(-5s)/(s^2+3s+2) Answer: u5(t)[-e^(-2(t-5))+e^(-(t-5))] How do I get the answer?

08/15/13

Find the simple inverse Laplace transform?

(1/2)/(s^2+3s+2) Answer: (-1/2)e^(-2t)+(1/2)e^(-t) Here's the work: (1/2)(1/(s^2+3s+2))=(1/2)(A/(s+2)+B/(s+1)) How do I find A and B?

08/14/13

Find the inverse Laplace transform?

e^-5s/(s^2+3s+2)+e^-10s/(s(s^2+3s+2))+(1/2)/(s^2+3s+2) How do you find the inverse laplace transform? Please help.

08/11/13

Simple inverse Laplace transform?

Find the inverse Laplace transform of (4s-6)/(s^2-2s+2).

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