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3 years ago

Why does the unit of time enter twice in the unit of acceleration?

1 answer:

8 0

Acceleration is the measurement that describes the rate of the changing the speed of the object. Mathematically, that is a = s / t
where a is acceleration, s is speed and t is time. Further, speed is the rate of changing the distance, s = d / t
With this, the unit of time is entered twice in the equation.

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Starting from a location with position vector 1,=−17.5 m and 1,=23.1 m , a rabbit hops around for 10.7 seconds with average velo

Andru [333]

By definition of average velocity,

$\vec v_{\rm ave} = \dfrac{\Delta \vec r}{\Delta t} = \dfrac{(x_2-x_1)\,\vec\imath + (y_2-y_1)\,\vec\jmath}{10.7\,\mathrm s}$

$\vec v_{\rm ave} = (-2.25\,\vec\imath + 1.79\,\vec\jmath)\dfrac{\rm m}{\rm s}$

and $x_1=-17.5\,\mathrm m$ and $y_1=23.1\,\mathrm m$ , then

$-2.25\dfrac{\rm m}{\rm s} = \dfrac{x_2 - (-17.5\,\mathrm m)}{10.7\,\mathrm s} \\\\ 1.79\dfrac{\rm m}{\rm s} = \dfrac{y_2 - 23.1\,\mathrm m}{10.7\,\mathrm s}$

Solve for $x_2$ and $y_2$ :

$x_2 = 17.5\,\mathrm m + \left(-2.25\dfrac{\rm m}{\rm s}\right)(10.7\,\mathrm s) \approx \boxed{-6.58\,\mathrm m}$

$y_2 = 23.1\,\mathrm m + \left(1.79\dfrac{\rm m}{\rm s}\right)(10.7\,\mathrm s) \approx \boxed{42.3\,\mathrm m}$

8 0

2 years ago

Which of the following maxims would apply to a person with a Type A personality?

lozanna [386]

The correct answer is C. Lost time is never found again

Explanation:

One of the most relevant personality theories is Type A and Type B personality theory that proposes two main types of personalities by grouping different personality traits. In the case of Type A personality, this refers to individuals that are very organized, impatient, and concerned with time and goals. On the opposite, Type B personality includes individuals that are more relaxed in different aspects.

According to this, one maxim that applies to Type A personality is "Lost time is never found again" because people with this personality are concerned about time and therefore, loss of time is considered highly negative by them. Also, due to their ambitions and concern with goals they want to avoid losing time as this is equivalent to work, money, goals, etc.

4 0

2 years ago

When a 12 newton horizontal force is applied to a box on a horizontal

sdas [7]

Answer:

ur mum

Explanation:

6 0

2 years ago

A baseball player throws a baseball with a velocity of 13 m/s north. It is caught by a second player seven seconds later. How fa

guajiro [1.7K]

Answer:

A. 91 meters north

Explanation:

Take +y to be north.

Given:

v₀ = 13 m/s

a = 0 m/s²

t = 7 s

Find: Δy

Δy = v₀ t + ½ at²

Δy = (13 m/s) (7 s) + ½ (0 m/s²) (7 s)²

Δy = 91 m

The displacement is 91 m north.

7 0

2 years ago

Which of the following is a nonferromagnetic material? (a) aluminum (b) iron (c) cobalt (d) gadolinium

ivolga24 [154]

Answer:

Explanation:

Iron and gadlinium are both very easily made into magnetic substances. Cobalt is also capable of being magnetized. Aluminum, put in an alloy, can make a magnetic substance, but

Aluminum by itself is not able to be magnetized.

5 0

2 years ago