Question

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/s^{2}.

A) What is the speed of the blue ball when it reaches its maximum height?

B) What is the height of the red ball 3.38 seconds after the blue ball is thrown?

C) How long after the blue ball is thrown are the two balls in the air at the same height?

Answer #1

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.

A ball is thrown directly downward with an initial speed of 7.75
m/s, from a height of 29.4 m. After what time interval does it
strike the ground?
______________ s

A ball is thrown directly downward with an initial speed of 8.25
m/s, from a height of 29.7 m. After what time interval does it
strike the ground?

A ball is thrown directly downward with an initial speed of 8.45
m/s, from a height of 29.9 m. After what time interval does it
strike the ground?

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 is thrown vertically upward from a window that is 3.6 m
above the ground. The ball's initial speed is 2.8 m/s and the
acceleration due to gravity is 9.8 m/s^2.
a) What is the ball's speed when it hits the ground?
b) How long after the first ball is thrown should a second ball
be simply dropped from the same window so that both balls hit the
ground at the same time?

rock thrown upward with an initial speed of 24.5 m/s
from the top of a 50m tower.
a. what's the rockets velocity the instant it hits the
ground?
b. how long is it in the air?
c. what's the max height above the building the ball
reaches?

Ball 1 is thrown vertically upwards at 8 m/s from a height of 30
meters from the side a building. A second ball is thrown upwards
from the ground (height of 0 m) 0.39 seconds after the ball 1 is
thrown upwards. With what speed, in m/s, does the second ball need
to be thrown such that it collides with ball 1 when ball 1 is 8
meters above the ground?

A 2.0 kg ball is thrown upward with an initial speed of 21.0 m/s
from the edge of a 48.0 m high cliff. At the instant the ball is
thrown, a woman starts running away from the base of the cliff with
a constant speed of 5.80 m/s. The woman runs in a straight line on
level ground. Ignore air resistance on the ball. How far does she
run before she catches the ball? (Your result must be in units...

A 0.2 kg ball is thrown straight upward at 27.5 m/s from an
initial height of 1.5 meters.
a. As the ball travels upward it passes 10.0 meters in height.
How fast is it rising?
b. How high does it rise before stopping?
c. How long does it rise?
d. How long does it take to hit the ground?
e. How fast is it falling when it hits the ground?
(Please provide work for each section that I can review)

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