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Drupady [299]
3 years ago
14

A roller coasters accelerates at 2 m/s from an initial velocity of of 6.0 m/s for 5 seconds. What is its final velocity?

Physics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Hello user!

Answer: Hence, the acceleration = 16 m/s^2

Steps:

Given:

Initial velocity (u) = 6 m/s

Initial velocity (u) = 6 m/sFinal velocity (v) = 70 m/s

Initial velocity (u) = 6 m/sFinal velocity (v) = 70 m/sTime (t) = 4 seconds

To find:

Acceleration (a) = ?

Solution:

Acceleration (a) = Final velocity (v) - Initial velocity (u) ÷ Time (t)

(putting values)...

--> a = 70 - 6 ÷ 4

--> a = 64 ÷ 4

--> a = 16 m/s^2

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3 years ago
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A 66​-foot-tall woman walks at 55 ​ft/s toward a street light that is 2424 ft above the ground. What is the rate of change of th
I am Lyosha [343]

Answer:

a. \frac{dx}{dt}=20ft/s

b. \frac{d(x+L)}{dt}==25ft/s

Explanation:

Using the triangle theorem both triangle the woman makes between the light so the rate of change of length can use geometry first

tan(\beta)=\frac{24ft}{L+x}=\frac{6ft}{x}

Solve to find the rate relation

x=\frac{24}{6}*L

x=4*L

Now the rate of the change rate

\frac{dx}{dt}=4*\frac{dL}{dt}

\frac{dx}{dt}=4*5ft/s=20ft/s

Finally the rate of her shadow moving

\frac{d(x+L)}{dt}=\frac{dx}{dt}+\frac{dL}{dt}

\frac{d(x+L)}{dt}=20ft/s+5ft/s=25ft/s

5 0
3 years ago
Light traveling through air strikes the surface of the four different materials below. which material reflects light but doesn't
Dmitriy789 [7]
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7 0
4 years ago
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You are planning to make an open rectangular box from an 8-inch by 15-inch piece of cardboard by cutting congruent squares from
Phoenix [80]

Let us say that x is the cut that we will make on the sides to make a box, therefore the new dimensions are:

l = 15 – 2x

w = 8 – 2x

It is 2x since we cut on two sides.

 

We know that volume is:

V = l w x

V = (15 – 2x) (8 – 2x) x

V = 120x – 30x^2 – 16x^2 + 4x^3

V = 120x – 46x^2 + 4x^3

 

Taking the 1st derivative:

dV/dx = 120 – 92x + 12x^2

 

Set dV/dx = 0 to get maxima:

120 – 92x + 12x^2 = 0

 

Divide by 12:

x^2 – (92/12)x + 10 = 0

(x – (92/24))^2 = -10 + (92/24)^2

x - 92/24 = ±2.17

x = 1.66, 6

We cannot have x = 6 because that will make our w negative, so:

x = 1.66 inches

 

So the largest volume is:

V = 120x – 46x^2 + 4x^3

V = 120(1.66) – 46(1.66)^2 + 4(1.66)^3

V = 90.74 cubic inches

4 0
4 years ago
Is the relationship between velocity and centripetal force a direct, linear or nonlinear square relationship?
Svet_ta [14]

Answer:

non linear square relationship

Explanation:

formula for centripetal force is given as

a = mv^2/r

here a ic centripetal acceleration , m is mass of body moving in circle of radius r and v is velocity of body . If m ,and r are constant we have

a = constant × v^2

a α v^2

hence non linear square relationship

5 0
4 years ago
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