Question

Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 32 ft/s from the top of a building 594 ft high, then its height h above the ground t seconds later will be h = 594 + 32t − 16t2. During what time interval (in seconds) will the ball be at least 34 ft above the ground? (Enter your answer using interval notation.)

Answer #1

A ball is thrown off the top of a 75 ft high building. If it
strikes the ground 60ft away from the building 3 seconds later,
determine the initial velocity, the angle at launch and the
magnitude of the ball's velocity when it hits the ground

A
ball is thrown upward from a height of 3m at an initial speed of 45
m / sec. Acceleration resulting from gravity is -9.8 m/sec^2.
Neglecting air resistance, solve for the velocity, v(t), and the
height, h(t), of the ball t seconds after it is thrown and before
it hits the ground.

if a ball is thrown vertically upward with a velocity of 95
ft/s, then its height after t seconds is
s=95t-19t^2
A. what is maximum height reached by the ball?
B. what is the velocity of the ball if its 114 ft above the
ground on the way up?
C. what is the velocity of the ball when it is 114 above the
ground on its way down?

A
ball is thrown directly upward from a height of 3 ft with an
initial velocity of 20 ft/sec. the function s(t) = -16t^2+20t+3
gives the height of the ball, in feet, t seconds after it has been
thrown. Determine the time at which the ball reaches its maximum
height and find the maximum height.

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...

A ball with mass m kg is thrown upward with initial velocity 16
m/s from the roof of a building 28 m high. Neglect air resistance.
Use 9.8 m/s2. Round your answers to one decimal place. (a) Find the
maximum height above the ground that the ball reaches. meters (b)
Assuming that the ball misses the building on the way down, find
the time that it hits the ground.

A ball with mass 1/9.8 kg is thrown upward with initial velocity
20 m/s from the roof of a building 30 m high. Assume that the force
of air resistance (drag force) is (v^2)/1225. Find the maximum
height above the ground that the ball reaches. (Hint: ﬁnd the
velocity v(t) ﬁrst, then ﬁnd the height x(t).)

A blue ball is thrown upward with an initial speed of 21.2 m/s,
from a height of 0.5 meters above the ground. 2.6 seconds after the
blue ball is thrown, a red ball is thrown down with an initial
speed of 11.7 m/s from a height of 25.7 meters above the ground.
The force of gravity due to the earth results in the balls each
having a constant downward acceleration of 9.81
m/s2.
A) What is the speed of the...

A ball is thrown straight down from the top of a 497-foot
building with an initial velocity of -15 feet per second. Use the
position function below for free-falling objects.
s(t) = -16t2 +
v0t + s0
What is its velocity after 2 seconds?
v(2) = ft/s
What is its velocity after falling 316 feet?
v = ft/s

A blue ball is thrown upward with an initial speed of 21.4 m/s,
from a height of 0.9 meters above the ground. 2.6 seconds after the
blue ball is thrown, a red ball is thrown down with an initial
speed of 9.2 m/s from a height of 25.3 meters above the ground. The
force of gravity due to the earth results in the balls each having
a constant downward acceleration of 9.81 m/s2.
1) How long after the blue ball...

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