Question

Answer the following questions for the given problem:

A ball is thrown up into the air. The ball’s height , h (in feet), from the ground is modeled by

**h(t) = -16t ^{2} + 64t +5, where t is measured in
seconds.**

Before answering these questions, think about the practical meaning of the vertex, y intercept and x intercepts, and how they apply to this problem.

1. What is the height of the ball at its highest point?

2. How many seconds does it take the ball to reach its highest point

3. What is the practical meaning of the y-intercept?

4. What is the height of the ball 1.75 seconds after it is thrown?

5. How many seconds does it take the ball to land on the ground?

Answer #1

A ball is thrown into the air from an upstairs window and its
height, h, in feet t seconds after it is thrown is given by the
equation: h = –( t^2 – 8t – 20)
a. What is the maximum height that the ball reaches? You can
check your answer with a graphing utility, but first try to
determine your answer without the graph by rewriting the equation
in vertex form and using the information in the rewritten form....

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)...

Using calculus, it can be shown that if a ball is thrown upward
with an initial velocity of 32 ft/s from the top of a building 594
ft high, then its height h above the ground t seconds later will be
h = 594 + 32t − 16t2. During what time interval (in seconds) will
the ball be at least 34 ft above the ground? (Enter your answer
using interval notation.)

if a baseball is thrown vertically upward with an initial
velocity of 128 ft/sec, the ball’s height after t seconds is
s(t)=128t-16t^2
A. Find the baseball's velocity and acceleration at time
t.
B. How long does it take the baseball to reach its highest
point?
C. How high does the baseball go?
D. What is the velocity of the ball when it is 112 ft above
the ground on the wh down?
E. What is the speed of the ball...

A ball is thrown upward with speed of 38.0m/s from top of
building 240 m tall: a) How long will it take to reach ground?
b)how long will it take for this ball to reach the highest point.
c) How long after ball is thrown will it be found 265 m above
ground? d) What is velocity of ball as it reaches the ground ? e)
what will be the velocity of this ball at the highest point? f) how...

Please answer all questions thanks.
(1) A ball is thrown vertically up into the air. You know that
the ball rises while slowing down, then it is for a moment at rest,
then it speeds back up while it heads down toward the ground. At
the moment in time when the ball is at its very highest point in
the trajectory, the net force on the ball is ...
Group of answer choices
a. zero because the ball is at...

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 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...

1.)You are hitting baseballs. When you toss the ball into the
air, your hand is 5 feet above the ground (see figure). You hit the
ball when it falls back to a height of 3.5 feet. You toss the ball
with an initial velocity of 20 feet per second. The height
h of the ball t seconds after leaving your hand
is given by
h = 5 + 20t ?
16t2.
How much time will pass before you hit the...

Equations of motion are used to describe the velocity (speed and
direction) as well as distance travelled by projectiles when they
are launched or thrown. The following equation is used to model
this model this movement: ℎ = −16?2 + ?0? + ℎ0
A ball is launched upward at 48 feet/second from a platform that
is 100 feet high. Find the maximum height the ball reaches and how
long it will take to get there. a) Substitute the appropriate
values...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 24 minutes ago

asked 25 minutes ago

asked 25 minutes ago

asked 27 minutes ago

asked 51 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago