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3 years ago

Jackie runs 1/2 mile in 1/6 hour.how far can she run in one hour?what is here rate of speed?

1 answer:

8 0

Simple. one sixth of an hour is 10 minutes. so she can run half a mile in 10 minutes. by doing simple multiplication, you can tell she can run 3 miles exact in one hour if she was to keep that pace the whole time. The rate or speed eould be 3 miles per hour, also written as 3mph.

HOPE THIS HELPED!!! DONT FORGET TO PUT THIS ANSWER AS THE BRAINLIEST

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1. (a). A police car, approaching right-angled intersection from the north, is chasing a speedmg

tamaranim1 [39]

Answer:

The SUV is running at 70 km/h

Step-by-step explanation:

Speed As Rate Of Change

The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.

This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

$d=\sqrt{x^2+y^2}$

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

$\displaystyle d\ '=\frac{x.x'+y.y'}{\sqrt{x^2+y^2}}$

Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)

We'll compute :

$d=\sqrt{(0.8)^2+(0.6)^2}=\sqrt{0.64+0.36}$

$d=1\ km$

We know d'=20 km/h, so we can solve for x' and find the speed of the SUV

$\displaystyle \frac{x.x'+y.y'}{\sqrt{x^2+y^2}}=20$

Thus we have

$x.x'+y.y'=20$

Solving for x'

$\displaystyle x'=\frac{20-y.y'}{x}$

Since y'=-60

$\displaystyle x'=\frac{20+0.6(60)}{0.8}$

$x'=70\ km/h$

The SUV is running at 70 km/h

7 0

3 years ago

How many times greater is the number of brain cells in a human as compared to the any?

kirill115 [55]

Answer:

25 Times

Step-by-step explanation:

6 0

3 years ago

The length of a rectangle is 3n + 2 and it's width is n -1. The perimeter of the rectangle is twice the sum of its length and it

mash [69]

An expression that represents the perimeter of the rectangle would be:

P = 2(3n+2) + 2(n-1)

Hope this helps!

5 0

3 years ago

A company that produces video games has hired you to set the sale price for its newest game. based on the production costs and c

nikitadnepr [17]

Answer: 500 dollars

You just plug in 100 to the x’s in the equation

8 0

3 years ago

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A car traveling at 32 m/s starts to decelerate steadily. It comes to a complete stop in 14 seconds. What is its acceleration?

valentina_108 [34]

We have:

Initial velocity (u) = 32 m/s
Final velocity (v) = 0 m/s ⇒ The value is zero because the car comes to stationary position when it stops
Time = 14 seconds

We can use one of the constant acceleration equation:
$v=u+at$ where $a$ is the acceleration

$0=32+14a$
$32=-14a$
$a=- \frac{32}{14}=-2.3m/s^{-2}$

The acceleration is 2.3 m/s⁻² and the negative sign shows deceleration

3 0

3 years ago

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