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scZoUnD [109]
3 years ago
6

car accelerates from 10m/s to 25m/s in 6.0s what is its acceleration? how far did it travel in this time? assume constant accele

ration
Physics
1 answer:
solniwko [45]3 years ago
7 0

Acceleration = (change in speed) / (time for the change)

Change in speed = (end speed) minus (start speed)

Change in speed = (25 m/s) - (10 m/s) = 15 m/s .

Acceleration = (15 m/s) / (6 sec) =  2.5 m/s² .

Average speed during the acceleration = (1/2) (10 m/s + 25 m/s)

Average speed during the acceleration = (1/2) (35 m/s)

Average speed during the acceleration = 17.5 m/s

Traveling at the average speed of 17.5 m/s for 6 sec,  the car covers (17.5m/s x 6sec) = 105 meters.

The other way to solve it, using the formula:  D = v₀t + (1/2) a T²

Distance = (initial speed)(time) + (1/2)(acceleration)(time²)

Distance = (10 m/s)(6 sec) + (1/2)(2.5 m/s²)(6.0sec)²

Distance = (60 m) + (1/2)(2.5 m/s²)(36 sec²)

Distance = (60 m) + (45 m) = 105 meters    

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Earth has a mass of 5,970,000 how would scientists express this in a number scientific notation
Kazeer [188]

Taking into account the definition of Scientific notation, the correct representation of 5,970,000 in scientific notation is 5.97×10⁶.

<h3>Definition of scientific notation</h3>

Scientific notation is a quick way to represent a number using powers of base 10.

The numbers are written as a product:

a×10ⁿ

where:

  • a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.
  • n is a whole number, which is called an exponent or an order of magnitude. Represents the number of times the point decimal is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.

<h3>This case</h3>

In this case, to write the number 5,970,000 in scientific notation, the following steps are performed:

  • The decimal point is moved to the left as many spaces until it reaches the right of the first digit. This number will be the value of a in the previous expression. Then a = 5.97
  • The base 10 is written with the exponent equal to the number of spaces that the decimal point moves. This is a positive number because the decimal point is shifted to the left, and it will have a value of n = 6.

Finally, the correct representation of 5,970,000 in scientific notation is 5.97×10⁶.

Learn more about scientific notation:

brainly.com/question/18073768


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4 0
2 years ago
Two similar sized stones one heavy and one light dropped from the same height into a pond explain why the impact of the heavy st
Zigmanuir [339]
In energy point of view, the larger stone had more potential energy before dropping. impacting the water, the larger one, having more kinetic energy which changed from potential energy, tranfered energy to the water and formed wave. the amplitude of the wave indicate the energy of the wave. more energy more amplitude.
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3 years ago
Two circus performers rehearse a trick in which a ball and a dart collide. Horatio stands on a platform 9.8 m above the ground a
xenn [34]

Answer:

Time = 0.55 s

Height = 8.3 m

Explanation:

The ball is dropped and therefore has an initial velocity of 0. Its acceleration, g, is directed downward in the same direction as its displacement, h_b.

The dart is thrown up in which case acceleration, g, acts downward in an opposite direction to its displacement, h_d. Both collide after travelling for a time period, t. Let the height of the dart from the ground at collision be h_d and the distance travelled by the ball measured from the top be h_b.

It follows that h_d+h_b=9.8.

Applying the equation of motion to each body (h = v_0t + 0.5at^2),

Ball:

h_b=0\times t + 0.5\times 9.8t^2 (since v_{b0} =0.)

h_b=4.9t^2

Dart:

h_d=17.8\times t - 0.5\times9.8t^2 (the acceleration is opposite to the displacement, hence the negative sign)

h_d=17.8\times t - 4.9t^2

But

h_b+h_d =9.8

17.8\times t - 4.9t^2+4.9t^2 =9.8

17.8\times t = 9.8

t = 0.55

The height of the collision is the height of the dart above the ground, h_d.

h_d=17.8\times t - 4.9t^2

h_d=17.8\times 0.55 - 4.9\times(0.55)^2

h_d=9.79 - 1.48225

h_d=8.3

8 0
3 years ago
Find the sum of the vectors: 40m/s2 Northeast, 10 m/s2 Northeast
podryga [215]

Answer:

Explanation:

Since both vectors are pointing on the same direction (Northeast), the sum of them will point in that same direction, and its magnitud will be the sum of the magnitudes of each vector (40m/s2+10m/s2). This problem is just a problem in one dimension. The sum of the vectors is then 50m/s2 Northeast.

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Basketball thrown over the shoulder to make a basket: Is this a projectile? why or why not
Korvikt [17]

Answer:

An object that is thrown, kicked or otherwise launched through the air is called a projectile.

Explanation:

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