Answer:
A) A circle starting at time t=0 on the positive x axis
.
B) .
C) v(t)=Rω[-sin(ωt)i^+cos(ωt)j^]
D) v(t)=Rω
E) a(t)=-R[cos(ωt)i^+sin(ωt)j^]
F) a(t)=-r(t)
G) (There is no Part G)
H) a=/R
Explanation:
The particle's motion is a circle starting at t=0 on the positive x axis since r(0)=R[cos(0)i^+sin(0)j^]=R[i^]. The particle first cross the negative x axis when r(t)=-R[i^], which means cos(ωt)=-1, or , so we have . The particle's velocity is the derivative of its position, so v(t)=Rω[-sin(ωt)i^+cos(ωt)j^], while its speed is the magnitude of that vector, v(t)=Rω (since the magnitude of the vector -sin(ωt)i^+cos(ωt)j^ is 1). The particle's acceleration is the derivative of its velocity, so a(t)=-R[cos(ωt)i^+sin(ωt)j^], or in terms of its position a(t)=-r(t), and its magnitude using the expression obtained for the speed of the particle, a=R=R/=/R.
Amplitude does not mean a note has a high pitch
Answer:
Horizontal distance moved by the person is 3.2 m
And it is independent of the mas of the person
Explanation:
As we know that the speed of the people when it is sliding downwards is given as
Now the time taken by the person to hit the water surface is given as
horizontal distance moved by the person is given as
Motion must be defined relative to something.
Here's an obvious, everyday example:
-- You're in a passenger jet, going to visit grandma on the
coast for the holidays.
-- You're sitting still in your seat, listening to some 'mp3's,
reading a book, and dozing off.
-- At the same time, people on the ground see you flying over
at almost 500 miles per hour.
Are you moving at 500 mph, or are you not moving at all ?
The answer is 'Yes. Both.'. It just depends on who's measuring your speed.
There's no such thing as your "real" speed. Motion is always
relative to something. Different reference = different speed.
Answer:
Explanation:
Usually the angle between the y axis and x axis is 90° and we know that for furthest travel the degree angle must be 45° with the horizontal, Mo must release the ball about halfway between straight ahead and straight up