Question

A ball is thrown to the sky directly from the edge of the skyscraper which has 58.1 meters lenght. Asssume that the ball does not hit the skyscraper when it returns from sky journey to the ground and hit the ground 4.0 seconds after it was thrown. Find the velocity of the ball when it was thrown (initial velocity)?

Answer #1

A ball is thrown directly upward from the edge of a
rock and travels such that after t seconds its height in feet above
the ground is given by the equation s(t) =-2.5t^2+10t+2
1.Find the equation that represents the instant
velocity v(t) of the ball on t time.
2.When does the ball has zero velocity?
3. What is the maximum height that the ball
reaches?
4. When does the ball touches the surface of the
Earth?
5. build the graph...

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.

A ball is thrown straight up from the edge of the roof of a
building. A second ball is dropped from the roof a time of 1.17 s
later. You may ignore air resistance
A.
If the height of the building is 20.3 m, what must the initial
speed be of the first ball if both are to hit the ground at the
same time?
Express your answer in meters per second.
B.
Consider the same situation, but now let...

A
stone thrown vertically on Mars. Suppose a stone is thrown
vertically upward from the edge of a cliff on Mars (where the
acceleration due to gravity is only about 12 ft/s^2) with an
initial velocity of 64 ft/s from a height of 192 ft above the
ground. The height S of the stone above the ground after t seconds
is given by s=-6t^2+64t+192
a. Determine the velocity v of the stone after t seconds
b. When does the stone...

7. Suppose that a golf ball is thrown vertically with an initial
velocity of 40 meters per second. Answer the following questions
given that the ball’s height (in meters) after t seconds is
represented by the function ℎ(t)= −4.9t2 + 40t. Use
appropriate units for full credit. [15 points]
a. How long will it take for the ball to hit the ground?
b. What will the ball’s instantaneous velocity at t = 5
seconds?
c. Use your answer to (b)...

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...

3) A ball is thrown leftward from the left edge
of a roof at height “h” above the ground. The ball hits the ground
1.5 sec later at a distance d = 25 m from the building and at an
angle θ = 60° with the horizontal.
a)
What is the value of “h”?
b)
What is the magnitude of the initial velocity?
c)
What is the angle of the initial velocity?

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 ball is thrown horizontally with an initial speed of 50m/s
from the top of a building 60m tall
a) How far away from the building will the ball hit the
ground?
b) What is the horizontal component of its velocity when it hits
the ground?
c) Find the magnitude and direction of the velocity when it hits
the ground?

11. a ball is thrown up from the ground with an initial velocity
of 120 feet per second. The height s in feet can be expressed as a
function of time t in seconds by s(t)=85t-16t^2 a. when does the
ball reach its maximum height b. what is the maximum height c. when
does the ball hit the ground
12. a farmer has 2800 feet of fencing material with which to
enclose a rectangle field that borders a straight stream....

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