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ivanzaharov [21]
3 years ago
12

A driver in a car traveling at a speed of 21.8 m/s sees a cat 101 m away on the road. How long will it take for the car to accel

erate uniformly to a stop in exactly 99 m?
Mathematics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

t = 9.08 sec

Explanation :

This requires the use of the kinematic equations.

u = initial velocity = 21.8 m/s

v = final velocity = 0

t = time = what we're trying to find.

So we use the equation that relates d, u, v and t. This is

d = distance = 99m

d = \frac{t*(u+v)}{2}

and since v = 0 this reduces to d = \frac{tu}{2}

which rearranges to t = \frac{2d}{u}

t = \frac{2*99}{21.8} =9.08 seconds

t = 9.08 sec



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emmainna [20.7K]

Answer:

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Step-by-step explanation:

Let's use the elimination method.
3x+4y=7
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Gala2k [10]

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Step-by-step explanation:

3 0
3 years ago
Question 2
prisoha [69]

Answer:

Please check the explanation.

Step-by-step explanation:

<u>Calculating the area of the outer rectangle:</u>

Given

  • The length outer rectangle = l = 3x - 1
  • The width of outer rectangle = w = 5x + 2

Thus,

The area of the outer rectangle:

A = wl

    = (5x + 2) (3x - 1)

    =5x\cdot \:3x+5x\left(-1\right)+2\cdot \:3x+2\left(-1\right)

     =5\cdot \:3xx-5\cdot \:1\cdot \:x+2\cdot \:3x-2\cdot \:1

      =15x^2+x-2

<u>Calculating the area of the inner rectangle:</u>

Given

  • The length inner rectangle = l = x + 7
  • The width of inner rectangle = w = x

Thus,

The area of the outer rectangle:

A = wl

   = x(x+7)

   = x² + 7

<u>Calculating the area of the shaded region:</u>

As

The area of the outer rectangle = 15x² + x - 2

The area of the inner rectangle = x² + 7

  • The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.

Thus,

shaded region Area = Outer Rectangle Area - Inner Rectangle Area

                                  = 15x² + x - 2 - (x² + 7)

                                   =  15x² + x - 2 - x² - 7

                                   = 14x² + x - 9

Therefore, the Area of the shaded region is: 14x² + x - 9

4 0
3 years ago
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