Question

At any instant, the horizontal and vertical position of the weather balloon in given Fig is defined by x = (12t) m and y=(5t2 )m, respectively where t is in seconds. Determine the magnitude and direction of the velocity when t = 2 s

Answer #1

At any instant the
horizontal position of the weather balloon is defined by
x = (8t) ft, where t is in seconds. If the equation of the
path is y =
x2/10, determine the magnitude of the velocity
and acceleration when t = 2s.
For a short time, the
path of the pane is described by y = (0.001x2) m. If the plane is rising with a
constant velocity of 10 m/s, determine the magnitudes of the
velocity and acceleration...

Q5:
- At any instant the horizontal position of helicopter is defined
by x = (4t) ft, where t is in seconds. If the equation of the path
is y = x3/5, determine the magnitude and direction of the velocity
and the acceleration when t = 2 s.

2. A ball is kicked off a high hill. It’s horizontal and
vertical positions as a function of time are given by x =
20.0t and y = 2.00t − 4.90t2, where x and y are in
meters and t is in seconds.
a) Write vector expressions for the ball's position (in m), the
velocity in (m/s), the acceleration (in m/s2) as a function of
time.
b) Write vector expressions for the position, the velocity, and the
acceleration of the...

The horizontal coordinates of a Frisbee™ in a strong wind are
given by x = -12t + 4t 2 and y = 10t – 3t 2 , where x and y are in
meters, and t is in seconds. What is the magnitude of acceleration
of the Frisbee at t = 1.0s? a) 2 m/s2 b) 10 m/s2 c) 5.7 m/s2 d)
10.6 m/s2

could you please solve it with shiwing the full work
1-
A high powered projectile is fired horizontally from the top of a
cliff at a speed of 638.6 m/s. Determine the magnitude of the
velocity (in m/s) after 5 seconds.
Take gravitational acceleration to be 9.81 m/s2.
2-
A man throws a ball with a velocity of 20.9 m/s upwards at 33.2° to
the horizontal. At what vertical distance above the release height
(in metres) will the ball strike...

1)A particle moves along the x axis. Its position is
given by the equation
x = 1.8 + 2.5t − 3.9t2
with x in meters and t in seconds.
(a) Determine its position when it changes direction.
(b) Determine its velocity when it returns to the position it had
at t = 0? (Indicate the direction of the velocity with the
sign of your answer.)
2)The height of a helicopter above the ground is given by
h = 3.10t3, where...

1. The position of a bird in the xy-plane is given by ?⃗ =
(3.0?−∝ ?)?̂+ ?? 2 ?̂where ∝= 1.6 ?/? and ? = 0.8 ?/? 2 . a) What
are Vx(t) and Vy(t), x and y components of the velocity of the bird
as a function of time? b) What is the bird’s net velocity at 3.0 s
(magnitude and direction)? c) What are ax(t) and ay(t), x and y
components of the acceleration of the bird as...

The position ? of a particle moving in space from (t=0 to 3.00
s) is given by ? = (6.00?^2− 2.00t^3 )i+ (3.00? − ?^2 )j+ (7.00?)?
in meters and t in seconds. Calculate (for t = 1.57 s): a. The
magnitude and direction of the velocity (relative to +x). b. The
magnitude and direction of the acceleration (relative to +y). c.
The angle between the velocity and the acceleration vector. d. The
average velocity from (t=0 to 3.00 s)....

The position of an object moving horizontally after t seconds is
given by the function s =12t-t^3 , for t > 0, where s is
measured in feet, with s g> 0 corresponding to positions right
of the origin.
a. When is the object stationary, moving to the right, and
moving to the left?
b. Determine the velocity and acceleration of the object at
t=4.
c. Determine the acceleration of the object when its velocity is
zero.
d. On what...

1-The velocity of a particle is v = { 6 i + (
28 - 2 t ) j } m/s, where t is in seconds. If r=0
when t=0, determine particle displacement during time interval t =
3 s to t = 8 s in the y direction.
2-A particle, originally at rest and located at point (1 ft, 4
ft, 5 ft), is subjected to an acceleration of a={ 3 t
i + 17 t2k} ft/s.
Determine magnitude...

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