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3 years ago

The slope of the following graph represents

Physics

1 answer:

guajiro [1.7K]3 years ago

4 0

Answer:

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A Honda Civic Hybrid weighs about 3200 lb .

RideAnS [48]

Answer: 1451.4 Kilograms

4 0

3 years ago

While driving on Fairway Drive, you see a pedestrian in the crosswalk, so you step on the brakes. If you decelerate at a rate of

zzz [600]

24 mph is 10.729 m/s

3 0

3 years ago

A man drops a rock into a well. (a) the man hears the sound of the splash 2.40 s after he releases the rock from rest. the speed

Burka [1]

Part (a)
Let h = depth of water surface from the top of the well, m

Because the stone is dropped, its initial velocity is zero.
Let t₁ = time for the stone to drop, s
Then
h = (1/2)*(9.8 m/s²)*(t₁ s)²
t₁ = √(h/4.9) s = 0.4518√h s

The velocity of sound is 336 m/s.
The time for the sound wave to travel from the water surface to the top of the well is
t₂ = h/336 m/s

Because the time before the sound is heard is 2.4 s, therefore
t₁ + t₂ = 2.4
0.45181√h + h/336 = 2.4
Multiply through by 336.
151.8082√h + h = 806.4
h - 806.4 = -151.8082√h
h² - 1612.8h + 6.5028 x 10⁵ = 2.3046 x 10⁴h
h² - 2.4659 x 10⁴h + 6.5028 x 10⁵ = 0

Solve with the quadratic formula.
h = 0.5[2.4659 x 10⁴ +/- 2.4606 x 10⁴]
= 24632 m or 26.5 m

Test the two answers.
When h = 24632,
t₁ = 0.4518√(24632) = 70.9 s (Not acceptable)
When h = 26.5 m,
t₁ = 0.4518√(26.5) = 2.3258 s, t₂ = 26.5/336 = 0.0789 s,
t₁+t₂ = 2.4 s (CORRECT)

Answer: h = 26.5 m

Part (b)
If travel time for the sound is ignored, then
0.4518√h = 2.4
h = (2.4/0.45118)² = 28.2 m
The percent error is 100*[(28.2 - 26.5)/26.5] = 6.42%

Answer: The error is 6.4%

4 0

3 years ago

A spacecraft heading for Pluto will take pictures of several other planets on its way. The above equation gives the distance, dd

ioda

Answer:

The maximum number of days for the trip

Explanation:

Given

$d = 1.06(212 - t)$ --- Missing Equation

Required

What does d represent?

From the question, we understand that t represent the number of days;

So, by default 212 represent days

Going further:

For the equation, $d = 1.06(212 - t)$ to be valid; the value of t must be within the interval;

$0 \le t \le 212$

When $t = 0;$

that is the beginning of the journey

As t increases;

212 - t decreases

Until the point where t = 212,

This signifies the end of the journey

So: 212 - t indicates a particular day between 0 and 212.

Hence, 212 represents the maximum number of days for the trip.

5 0

3 years ago

A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the sheet on each side through a

GarryVolchara [31]

Answer:

Explanation:

The volume of the water carried will be proportional to the cross-sectional area. The cross-section is a trapezoid with height 10sint, where t represents theta. The top of the trapezoid is 10+(2)(10cost), i.e. 10 + 20cost. The base of the trapezoid is 10.

Area of trapezoid = (average of bases) times (height)

= ([10 + (10 +20cost)] / 2 ) 10 sint

= (10 + 10cost)(10sint)

= 100sint + 100sintcost, call this A(t). You need to maximize. So differentiate and set equal to zero.

dA/dt = -100sin(t)^2+100cos(t)+100cos(t)^2 = 0, divide by 100:

-sin(t)^2 + cos(t) + cos(t)^2 = 0, replace sin^2 by 1-cos^2

2cos(t)^2 + cos(t) - 1 = 0, factor

(1+cos(t))(2cos(t)-1)=0, so

cos(t)=1, t=0 that give a min (zero area) not a max, or

cos(t) = 1/2, so t=60 degrees. This gives the max.

7 0

4 years ago