![alexisbeasley2](/avatars/24819.jpg)
alexisbeasley2
21.02.2020 •
Mathematics
Given that the acceleration vector is a(t)=(-4cos(2t),-4sin(2t),t)
the initial velocity is v(0)=(1,0,1),
and the initial position vector is r(0)=(1,1,1), compute:
A. The velocity vector v(t)
B. The position vector r(t)
Solved
Show answers
More tips
- H Health and Medicine Want to Lose Weight? Gain Muscle without Damaging Your Health!...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
Answers on questions: Mathematics
- M Mathematics Need the radius 4 inches to diameter circumference the area...
- M Mathematics Use the binomial theorem to find the expansion of (2x-2)^3...
- M Mathematics An airplane flies with a constant speed of 960 km per hour how long will it take it to fly a distance of 3840 km...
- M Mathematics The function f(x) = x² has been translated 9 units up and 4 units to the right to form the function g(x). which represents g(x)? o g(x) = (x + 9)2 + 4 o g(x) = (x +...
- M Mathematics What does it mean in the context oft the example that alyssa’s rate of change is greater than sarah’s ?...
- M Mathematics Translate each sentence into an equation. use x for the variable. three more than eight times a number is equal to 19....
- M Mathematics 1. which option did you choose? discuss with another student why you made the choice you made. (1 point) troposphere (above the surface)upper crust (below the surface)...
- M Mathematics Square abcd has the coordinates shown . find the coordinates of point d. coordinates a (2,2) b(1,4) c(3,5) square abcd has the coordinates shown...
- M Mathematics Why does not let me make an account ?...
- M Mathematics (10 points) using this graph, how can i graph y=x...
Ответ:
a(t) = (-2sin2, -2cos0, (1/2)
r(t) = (cos2, sin2, 1/6)
Step-by-step explanation:
By definition, given a position vector, r(t),
- The velocity vector v(t) is the derivative of the position vector.
v(t) = r'(t)
- The acceleration vector a(t) is the derivative of the velocity vector.
a(t) = v'(t) = r''(t).
Knowing that integration is the reverse of differentiation, we can obtain the velocity and position vectors from the given acceleration vector.
a(t) = (-4cos(2t), -4sin(2t), t)
Integrating with respect t, we have:
v(t) = (-4/2)sin(2t), (-4/2)(-cos(2t)), (1/2)t²)
at (1, 0, 1), a(t) = (-2sin2, -2cos0, (1/2)(1))
= (-0.0698, -2, 0.5)
Now, we integrate the velocity vector with respect to t to obtain the position vector.
r(t) = (cos(2t), sin(2t), (1/6)t³)
at (1, 1, 1)
r(t) = (cos2, sin2, 1/6)
= (0.999, 0.035, 0.167)
Ответ:
5/12
Step-by-step explanation:
Notice that the in the throw of a pair of dice.
Sum No. of times Favorable outcome
8 5
9 4
10 3
11 2
12 1
And total otcome = 6×6 =36
There P ( richard win) = P(X≥8)
= (5+4+3+2+1)/36
=5/12