Question

Two students are on a balcony 18.7 m above the street. One student throws a ball (ball 1) vertically downward at 14.6 m/s; at the same instant, the other student throws a ball (ball 2) vertically upward at the same speed. The second ball just misses the balcony on the way down. (a) What is the difference in the two ball's time in the air? s (b) What is the velocity of each ball as it strikes the ground? ball 1 magnitude m/s direction ball 2 magnitude m/s direction (c) How far apart are the balls 0.500 s after they are thrown? m

Answer #1

here,

height , h0 = 18.7 m

intial speed of 1, u1 = 14.6 m/s

initial speed of 2 , u2 = - 14.6 m/s

a)

let the time taken to rach ground be t

h0 = u2 * t + 0.5 * g * t^2

18.7 = - 14.6 * t + 0.5 * 9.81 * t^2

solving for t

t = -0.97 s and 3.94 s

the time taken for ball 1 is 0.97 s

the time taken for ball 2 is 3.94 s

b)

the final speeds of ball is same at the ground and points downwards

the magnitude of final velocity , v = u1 + g * t1

v = 14.6 + 9.81 * 0.97 m/s

v = 24.1 m/s

c)

at t1 = 0.5 s

h1 = u1 * t + 0.5 * g * t^2

h1 = 14.6 * 0.5 + 0.5 * 9.81 * 0.5^2

h1 = 8.52 m

for seccond ball

h2 = u2 * t + 0.5 * g * t^2

h2 = - 14.6 * 0.5 + 0.5 * 9.81 * 0.5^2

h2 = - 6.08 m

the height difference , h = h1 - h2

h = 14.6 m

A boy 13.0 m above the ground in a tree throws a ball for his
dog, who is standing right below the tree and starts running the
instant the ball is thrown. (a) If the boy throws the ball
horizontally at 7.50 m/s, how fast must the dog run to catch the
ball just as it reaches the ground? (b) How far from the tree will
the dog catch the ball? (c) Find the velocity of the ball
(magnitude and...

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?

A boy 11.0m above the ground in a tree throws a ball for his
dog, who is standing right below the tree and starts running the
instant the ball is thrown. If the boy throws the ball upward at
50.0degrees above the horizontal, at 9.00m/s .
A)How fast must the dog run to catch the ball just as it reaches
the ground?
B)How far from the tree will the dog catch the ball?

A juggler performs in a room whose ceiling is 3 m above the
level of his hands. He throws a ball vertically upward so that it
just reaches the ceiling.
a. With what initial velocity does he throw the ball?
b. What time is required for the ball to reach the
ceiling?
He throws a second ball upward with the same initial velocity,
at the instant that the first ball is at the ceiling.
c. How long after the second...

Dennis and Carmen are standing on the edge of a cliff that is h=
10m high. Dennis throws a basketball vertically upward. At the same
time, Carmen throws a basketball vertically downward. Both balls
are thrown with the Vo = 5 m/s. How much time does it take (in
seconds) for each ball to reach the ground?

A ball is thrown upward from ground level at 25 m/s. At the same
instant, a second ball is dropped from rest from a building 15 m
high. How high above the ground will the two balls be when they are
at the same height? Please break it out to where it makes sense.
Thank you!

An inquisitive physics student and mountain climber climbs a
51.0-m-high cliff that overhangs a calm pool of water. He throws
two stones vertically downward, 1.00 s apart, and observes that
they cause a single splash. The first stone has an initial speed of
2.02 m/s.
(a) How long after release of the first stone do the two stones
hit the water?
s
(b) What initial velocity must the second stone have if the two
stones are to hit the water...

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...

Nicholas throws a ball with an initial speed of 10.00 m/s at
an angle of 58° above the horizontal. The ball leaves her hand 0.88
m above the ground and experience negligible air resistance.
(a)How far from where the child is standing does the ball hit
the ground?
(b)How long is the ball in flight before it hits the
ground?
(c)What is the magnitude of the ball's velocity just before
it hits the ground?
(d)At what angle below the horizontal...

A person standing at the edge of a cliff throws one ball
straight up and another ball straight down at the same initial
speed. Neglecting air resistance, the ball to hit the ground below
the cliff with the greater speed is the one initially thrown
1. Upward
2.Downward
3.Neither—they both hit at the same speed
I know the answer is 3. But I dont know how to prove it. Plz
help with it.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 1 minute ago

asked 2 minutes ago

asked 12 minutes ago

asked 12 minutes ago

asked 16 minutes ago

asked 16 minutes ago

asked 16 minutes ago

asked 16 minutes ago

asked 18 minutes ago

asked 25 minutes ago

asked 25 minutes ago