Question

A ball is thrown straight upward from a height of 1.0 m with a velocity of 2.0 m/s.

(a) Write an equation to describe the ball’s height as a function of time.

(b) What is the maximum height the ball reaches?

(c) After how many seconds does the ball hit the ground? 3.

On a drive from Philadelphia to Newark, you drive 2/3 of the distance at 80 kilometers per hour. You then get stuck in a construction zone and have to drive at 35 kilometers per hour for the remaining 1/3 of the distance.

(a) Sketch x(t), assuming that all motion is in the +x direction. Indicate how average velocity can be found on your sketch.

(b) What is your average velocity in km/hour (including direction) for the trip? (You do not need to know the exact distance from Philadelphia to Newark to answer this question.)

Answer #1

along vertical

initial velocity voy = 2 m/s

initial height yo = 1 m

acceleration ay = -g - 9.8 m/s^2

from equation of motion

y - yo = voy*t + (1/2)*ay*t^2

---------------------

(b)

at maimum height final velocity vy = 0

vy^2 - voy^2 = 2*ay*(y-y0)

0 - 2^2 = -2*9.8*(ymax - 1)

maimum height yma = 1.2 m

==============

(c)

after hitting ground final position y = 0

y - yo = voy*t + (1/2)*ay*t^2

0 - 1 = 2*t - (1/2)*9.8*t^2

t = 0.7 seconds

====================================

(b)

total displacement = S

total time T = (2/3)*S/v1 + (1/3)*S/v2 = 2S/(3v1) + S/(3V2) = S*(2V2 + V1)/(3*V1*V2)

average velocity V = S/T

average velocity = 3*V1*V2/(2V2 + V1) = (3*80*35)/((2*35)+80)

average velocity = 56 kilometer per hour

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 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 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 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...

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...

2.
(b) A ball is thrown in the upward direction is to reach a
maximum height of 100 meters.What is the initial velocity with
which the ball is thrown from an initial height of 10 meters?

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)

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 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 straight upward. At 6.90 m above its launch
point, the ball’s speed is one-half its launch speed. What maximum
height above its launch point does the ball attain?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 11 minutes ago

asked 20 minutes ago

asked 28 minutes ago

asked 33 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago