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...
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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
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...
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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?
08/23/13
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.
08/22/13
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).
08/17/13
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.
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