Question

Question 9 (1 point)

An airplane starts from rest (vo = 0) and accelerates down a runway at 2 m/s2 for 23 s until it takes off. Determine the distance traveled before takeoff.

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Question 10 (1 point)

An airplane starts from rest (vo = 0) and accelerates down a runway at 4 m/s2 and covers 245 m before it takes off. Determine the time it takes.

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Question 11 (1 point)

An airplane starts from 2 m/s and accelerates down a runway at 1 m/s2 and covers 446 m before it takes off. Determine the time it takes.

Note, we still need x = vo t + 1/2 a t2, but the formula will still have t and t2.

This is called a quadratic equation. Probably the best way to solve this is with the quadratic formula (your other choices are factoring, completing the square, graphing or numerical methods)

Steps:

Simplify as much as possible and arrange in descending order - that is, get everything on one side of the equation with a zero on the other side and rearrange the terms so that t2 comes first, t comes second and the constant term is lastthe quad formula has a, b, and c which are the coefficients of the t2 term, the t term and the constant term including the positive or negative signsexample:If 4 = 2 t + 1/2 (8) t2Simplify 1/2 (8) = 4, subtract 4 from both sides and rearrange the terms to get 0 = 4t2 + 2t - 4now a = 4, b = 2, c = -4plug these into the quadratic formula and get the two solutions, one when we use the + and the other when we use the - in the formula, just before the square root. Usually we want the positive solution(-2+√(22-4(4)(-4))).(2*4) = 0.78(-2-√(22-4(4)(-4))).(2*4) = -1.3

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Question 12 (1 point)

Sometimes you have to do the problem in two steps:

A car moving at 16 m/s comes to a stop in 6 s. Find the distance it covers.

Here we see that vO = 16 m/s, v = 0 m/s (comes to a stop), and t = 6 s, and they want x.

We don't have a formula that relates vO , v , t and x. So:

first use v = vO + at to find athen use x = vO t + 1/2 at2 to find x

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Question 13 (1 point)

If a car moving 13 m/s comes to a stop in 5 seconds, find the acceleration

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Question 14 (1 point)

A dolphin jumps straight up out of the water at a velocity of 9 m/s. How high

does his body rise above the water before he comes to a stop due to gravity pulling downward at 9.8 m/s2 ?

Reminder: vo is up and acceleration is down - in Physics opposite directions get represented by opposite signs, say, up is positive and down is negative.

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Answer #1

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Assessment
Identify the Variables!
In rotational kinematics - the variables are:
t = time, which is measured in s (for seconds)
θ = angle = what angle did the object turn thru, usually
measured radians
ωO = initial angular velocity = the rotational speed
of the object at the beginning of the problem, which is measured in
rad/s
ω = final angular velocity = the rotational speed of the object
at the end of the problem, which is measured in...

1 point) A truck starts from rest and accelerates at
1?/?2. 6 s later, a car accelerates from rest at the
same starting point with an acceleration of
2.7?/?2.
a) Where and when does the car catch the truck?
1. ?m from the starting point
2. at ? seconds from the moment the truck started to
accelerate.
b) What are their velocities when they meet?
The truck : m/s
The car : m/s

A flywheel with a radius of 0.500 m starts from rest and
accelerates with a constant angular acceleration of 0.800 rad/s2
.
1) Compute the magnitude of the resultant acceleration of a
point on its rim after it has turned through 60.0. (m/s^2)
2) Compute the magnitude of the resultant acceleration of a
point on its rim after it has turned through 120.0. (m/s^2)

please give exact answers
Question 6 (1 point)
Problems 6-9 use the following information. A dog frolics
rectilinearly with acceleration a(t) = 2sin(t) +
9e3t + 3t2
+ 5 m/s2. Initial position and velocity are
both 0. At t = 0.8 s:
What is the dog's acceleration (m/s2)? Answer with 3
significant figures.
Question 7 (1 point)
What is the dog's velocity (m/s)? Answer with 3 significant
figures.
Question 8 (1 point)
What is the dog's position (m)? Answer with...

1. A rocket starts at rest and accelerates up at 61.2
m/s2 for 1.41 s. What maximum height does it reach?
2. An Atwood machine is made with masses 8.9 kg and 4.9 kg. What
is its acceleration?
3.A block slides down a 47.4º at 2.55 m/s^2. What is the
coefficient of friction?

A flywheel with a radius of 0.500 m starts from rest and
accelerates with a constant angular acceleration of 0.700 rad/s2
.
1.Compute the magnitude of the tangential acceleration of a
point on its rim at the start.
2.Compute the magnitude of the radial acceleration of a point on
its rim at the start.
3.Compute the magnitude of the tangential acceleration of a
point on its rim after it has turned through 60.0 ?.
4.Compute the magnitude of the radial...

A tortoise and hare start from rest and have a race. As the race
begins, both accelerate forward. The hare accelerates uniformly at
a rate of 0.8 m/s2 for 4.4 seconds. It then continues at
a constant speed for 13.5 seconds, before getting tired and slowing
down with constant acceleration coming to rest 61 meters from where
it started. The tortoise accelerates uniformly for the entire
distance, finally catching the hare just as the hare comes to a
stop.
1.What...

1.A boy jumps from rest, straight down from the top of a cliff.
He falls halfway down to the water below in 0.756 s. How much time
passes during his entire trip from the top down to the water?
Ignore air resistance. t = ?
2.An astronaut on a distant planet wants to determine its
acceleration due to gravity. The astronaut throws a rock straight
up with a velocity of +15.7 m/s and measures a time of 10.5 s
before...

Two cars start from rest at a red stop light. When the light
turns green, both cars accelerate forward. The blue car accelerates
uniformly at a rate of 5.1 m/s2 for 4.3 seconds. It then continues
at a constant speed for 11.9 seconds, before applying the brakes
such that the car’s speed decreases uniformly coming to rest 361.87
meters from where it started. The yellow car accelerates uniformly
for the entire distance, finally catching the blue car just as the...

A tortoise and hare start from rest and have a race. As the
race begins, both accelerate forward. The hare accelerates
uniformly at a rate of 1.5 m/s2 for 4.2 seconds. It then continues
at a constant speed for 12.4 seconds, before getting tired and
slowing down with constant acceleration coming to rest 108 meters
from where it started. The tortoise accelerates uniformly for the
entire distance, finally catching the hare just as the hare comes
to a stop.
1)...

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