A ball is rolling at 4.80m/s over level ground when it encounters a ramp, which gives it an acceleration of -0.875m/s^2. If the ramp is 0.750m long, what is the final velocity of the ball when it reaches the top of the ramp?

Answers

Answer 1

Given that the ball was rolling with an initial velocity of 4.80 m/s, when it encountered the ramp.

Given that the accerelation with which it rolled over the ramp was [tex]-0.875 m/s^2[/tex] and that the ranp is 0.750 m long.

The final velocity of an object with an initial velocity, u, with an accerelation, a, moving through a distance, s is given by

[tex]v^2=u^2+2as[/tex]

Thus, the final velocity of the ball when it reaches the top of the ramp is given by

[tex]v^2=(4.80)^2+2(-0.875)(0.750) \\ \\ =23.04-1.3125=21.7275 \\ \\ \Rightarrow v=\sqrt{21.7275}=\bold{4.66 \ m/s}[/tex]

Answer 2

4.66 m/s The distance the ball will move when under constant acceleration will be d = VT + 0.5A T^2 where d = distance traveled V = initial velocity A = acceleration T = Time Substituting the known values gives. 0.750 m = 4.80 m/s * T - 0.5 * 0.875 m/s^2 * T^2 0.750 m = 4.80 m/s * T - 0.4375 m/s^2 * T^2 0 m = 4.80 m/s * T - 0.4375 m/s^2 * T^2 - 0.750 m We now have a quadratic equation with a = -0.4375, b = 4.80, and c = -0.750. Using the quadratic formula, we find the roots 0.158540972 seconds and 10.8128876 seconds. Then 10+ second root would happen if the ramp extended further and the ball rolled up until it stopped, then started rolling backwards. Since the ramp isn't that long, the 0.1585 second is the root we desire. And the velocity will be the initial velocity, minus the deceleration caused by climbing the ramp. And that would be the acceleration multiplied by the time spent accelerating. So 4.80 m/s - 0.875 m/s^2 * 0.1585 s = 4.80 m/s - 0.13869 m/s = 4.66 m/s

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Answers

First you want to add all of those together.
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Hope this helps!

You biked 1/2, or 0.5, of the total distance on the adventure trail. The total distance covered was 24 miles.

To calculate the fraction of the total distance that you biked, we first need to determine the total distance covered in the adventure trail.

Biking: 12 milesWalking: 4 milesRunning: 6 milesSwimming: 2 miles

Adding these distances together gives us a total distance of:

Total Distance = 12 + 4 + 6 + 2 = 24 miles

The fraction of the distance biked is then given by the biking distance over the total distance:

Fraction Biked = 12 miles / 24 miles = 1/2

To express this fraction as a decimal, we perform the division:

Decimal Form = 1 ÷ 2 = 0.5

Therefore, you biked 1/2 (or 0.5) of the total distance.

what is a decimal factor

Answers

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Answers

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Answer:

The coefficient is -4. Hope this helps!!

Step-by-step explanation:

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Answers

(79 + 94 + 91 + 92 + x) / 5 > = 90
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Answer:

94 points

Step-by-step explanation:

The mean is defined by the sum of the numbers divided by how many numbers there are, so:

[tex]\frac{(79+94+91+92+x)}{5}>=90\\\\\frac{(356+x)}{5}>=90[/tex]

Multiplying both sides by 5

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Subtracting 356 on both sides:

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Get rid of the parenthesis.

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Note : the (12) turns into a negative because a negative times a positive is always a negative :)

Combine like terms.

(n + n) + (8 - 12)

Simplify.

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~Hope I helped!~

n+8+n+−12

Combine Like Terms:
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33
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Answer:

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Step-by-step explanation:

APEX

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