Question

A rock is thrown straight upward from the top of a building with an initial velocity of 15.0 m/s, at an initial height of 45.0 m above the ground. The rock just misses the edge of the building’s roof on its way down. The magnitude of the acceleration due to gravity is 9.79 m/s2 (in Greeley).a. What is the time needed for the rock to reach its maximum height?b. What is its maximum height with respect to the ground?c. How much time is needed for the rock to return to the height from which it was thrown? d. How much time does the rock take to travel from when it was initially thrown to when it reached the ground?e. Please carefully sketch a graph for position vs. time, velocity vs. time and acceleration vs. time for this rock’s total trajectory. (One doesn’t need actual numbers on these graphs. The shapes are important.)

Answer #1

A
stone is thrown from the top of a cliff with the initial velocity
of 20.0 m/s straight upward. The cliff is 50.0 m high and the stone
just misses the edge of the cliff on its way down. Determine (a)
the time needed for the stone to reach its maximum height; (b) the
maximum height, as measured from the ground; (c) the time needed
for the stone to return to the level of the thrower; (d) the
velocity of...

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.

2. A ball is thrown straight upward from the window of a
building 40 meters above the ground with an initial velocity of 20
m/s. Calculate
a. The speed of the ball after 1.5 sec.
b. The time needed for ball to reach its maximum height.
c. The maximum height.
d. The time needed for the ball to return back to the same
window which was thrown
e. The time needed for the ball to reach the ground.
f. Final...

A
ball is thrown from the roof of a building. The initial velocity
vector is at an angle of 53.0° above the horizontal. It is at
maximum height in 1.04 seconds. Express all vectors in terms of
unit vectors i and j. The ball strikes the ground at a horizontal
distance from the building of 33.1 meters.
a.) What is the vertical velocity (vector) at t=1.04
seconds?
b.) What is the initial vertical velocity (vector)?
c) What is the inital...

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?

A ball is thrown vertically upwards with an initial velocity of
10 m/s, from a platform that is at a height of 75 m above the
ground. The ball reaches a maximum height and, on the way down,
misses the platform and falls all the way to the ground. Take the
magnitude of the acceleration due to gravity to be 10 m/s2.
(a) What is the velocity of the ball just before it reaches the
ground?
(b) How many seconds...

A rock is thrown upward from the hand at an initial speed of 4.5
m/s. How much later must a second rock be dropped from the same
initial height of 50 cm so that the two rocks hit the ground at the
same time?

A ball is thrown vertically upward from the edge of a cliff,
with an upward velocity of 20 m/s. On its way back down, it just
misses the end of the cliff.
(a) Find the position and velocity of the ball 1 s and 4 s
after it is thrown;
(b) Find the velocity of the ball when it is 5 m above the
flat surface of the cliff. Write the magnitude of the velocity in
the Answer box below...

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 stone thrown from the top of the building is given an initial
velocity of 8 m/s at an angle of 20.0o below horizontal. It strikes
the ground 3.00 s later. (a) How far horizontally from the base of
the building does the stone strike the ground? (b) Find the height
from which the stone is thrown? (c) How long does it take the ball
to reach a point 10.0 m below the level of launching? (d) What are
the...

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