Question

A 480-lb object is launched from the ground with an initial upward velocity of 70 ft/sec. The atmosphere resists the motion of the object with a force of 5 lb for each ft/sec of speed. Assuming that the only other force acting on the object is gravity, find the time it takes for the object to reach its maximum height:

Answer #1

A flare is launched upward with an initial velocity of 80 ft/sec
from a height of 224 ft. Its height in feet
after t seconds is given by h t t t ( ) = − + + 16 80 224. 2 How
long will it take the flare to reach the ground?

A 200-lb object is released from rest 500 ft above the ground
and allowed to fall under the influence of gravity. Assuming that
the force in pounds due to air resistance is - 5v, where v is the
velocity of the object in ft/sec, determine the equation of motion
of the object. When will the object hit the ground? Assume that
the acceleration due to gravity is 32 ft/sec2 and let
x(t) represent the distance the object has fallen in...

A 3.8 lb object is thrown vertically upward with an initial
velocity of 36.0 m/s. What maximum height does it
reach? It now falls vertically from this height.
What is its velocity just before hitting the
ground? When it came to rest, it left a 1.30 cm
indentation in the ground. What was the magnitude and direction of
the force that brought the object to rest?

When the velocity v of an object is very large, the magnitude
of the force due to air resistance is proportional to v squared
with the force acting in opposition to the motion of the object. A
shell of mass 5 kg is shot upward from the ground with an initial
velocity of 800 m/sec. If the magnitude of the force due to air
resistance is (0.1)v squared, when will the shell reach its
maximum height above the ground? What...

A 30 lb object is subjected to an applied upward force of 10
lbf. The only other force acting on the object is the force of
gravity. The acceleration of gravity is 32.2
ft/s2.
Determine the weight of the object, in lbf, and the net
acceleration of the object, in ft/s2.

if a baseball is thrown vertically upward with an initial
velocity of 128 ft/sec, the ball’s height after t seconds is
s(t)=128t-16t^2
A. Find the baseball's velocity and acceleration at time
t.
B. How long does it take the baseball to reach its highest
point?
C. How high does the baseball go?
D. What is the velocity of the ball when it is 112 ft above
the ground on the wh down?
E. What is the speed of the ball...

An archer shoots an arrow from 4 feet above the ground at an
initial velocity of 260 ft/sec at an angle of 30 degrees above the
horizontal. Find the maximum height of the arrow. If the archer was
shooting at a hog that was 1500 feet away, was the shot too high,
too low or on target? (assume the only forces acting on the arrow
after it is shot is the force due to gravity
-32 ft/sec2

For an object being launched at ground level at a tilted
non-zero initial velocity, is the velocity zero anywhere? Are the
horizontal or vertical components of the velocity zero at any
point?
What is the shape of this trajectory? (Use the mathematical
term).
If an object is launched with a strictly horizontal initial
velocity, what is the vertical component of the initial
velocity?
Will an object take longer, less, or the same amount of time to
reach the ground if...

If a ball is thrown upward with a velocity of 64 ft/sec, then
its height after t seconds is s=64t-16t^2. When does the ball reach
its maximum height?

A metal ball is launched by a sling shot from ground level with
an initial speed of 13.3 m/s directly upward. Choose upward as the
positive direction in your analysis.
(a) What is the maximum height above the ground that the ball
reaches?_______ m
(b) How long does it take to reach the maximum height?__________
s
(c) How long does it take to reach the ground after it reaches its
highest point?__________s
(d) What is its velocity just before it...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 19 minutes ago

asked 19 minutes ago

asked 27 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago