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3 years ago

A particle is projected at a speed of 12 ms^-1 up a straight inclined track. Whilst on the

Mathematics

1 answer:

seraphim [82]3 years ago

4 0

The time taken for the particle to travel more than 8 meters from the point of projection is 0.59 s.

<h3>Time of motion of the particle</h3>

The time taken for the particle to travel more than 8 meters from the point of projection is calculated as follows;

s = v₀t + ¹/₂at²

8 = 12t + (0.5 x 5)t²

8 = 12t + 2.5t²

2.5t² + 12t - 8 = 0

solve the equation using formula method

t = 0.59 s

Thus, the time taken for the particle to travel more than 8 meters from the point of projection is 0.59 s.

Learn more about time of motion here: brainly.com/question/2364404

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Roughly estimate the volume of a tennis ball in cubic cm by using 6 cm for diameter and 3 for pi. round the answer to the neares

galben [10]

The volume of ball is 113.04 cubic centimeter

Solution:

Given that we have to find the volume of tennis ball

Since the ball is of sphere shape, we can use the sphere formula

The volume of sphere is given by formula:

$V = \frac{4}{3} \times \pi \times r^3$

Where, "V" is the volume and "r" is the radius

Given that,

Diameter = 6 cm

Therefore,

$Radius = \frac{diameter}{2}\\\\Radius = \frac{6}{2}=3$

Substituting in formula, we get

$V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04$

Thus volume of ball is 113.04 cubic centimeter

3 0

3 years ago

1. What is the value of m in the equation below? m + 91.3 = 0 GNC

kherson [118]

Step-by-step explanation:

m = -91.3

Since you move from 91.3 to the other side of the equal sign, it becomes a negative number (-91.3)

Think of the equal sign as a seperator from the positive and negative side.

If you also get an equation like -x=91.3, just flip the -x, to x, and change the 91.3 to a negative 91.3!

Cheers!

3 0

3 years ago

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PLZ HELP IM BEGGING NOONE WOULD HELP ME

erastovalidia [21]

A.) because for Me you go right 3 and down 3 and so A.) you would go right 3 (5+3) which is 8 then down 3 which is 1.

5 0

3 years ago

An AFL game starts at 1:00 pm in Perth. If Melbourne time is 3 hours ahead of Perth time, when should you turn on your TV in Mel

Harrizon [31]

Answer:

4:00 pm

Step-by-step explanation:

1 + 3 = 4

1 pm in Perth would be 4 pm in Melbourne because it is 3 hours ahead.

7 0

3 years ago

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A man starts on a 290 mile trip at 10 a.m. and drives at an average speed of 40 mph until he stops for lunch. After he stops one

ozzi

Answer:

1:30pm

Step-by-step explanation:

Start Time: 10:00am

Start Speed: 40MPH

Time for Lunch: 30minutes

Arrival Time: 5:00pm

Ending Speed: 50MPH

Total Miles: 290miles

Find Total Time Taken:

5pm - 10am = 7 hours

7 hours - 30 minutes (lunch) = 6.5 hours of travel

Create Equations:

Distance = Speed x Time

Finding Total Numbers of Miles Traveled

Miles = SpeedBefore x TimeBefore + SpeedAfter x TimeAfter

290(Miles) = 40(mph) x E + 50(mph) x Y

290 = 40E + 50A

Finding Time Traveled Before and After the lunch break

Note: It is based on duration in hours

Total Time = Time Before + Time After + Lunch Time

7 hours = E + Y + .5 hours

7 = E + Y + .5

Solve for Y

7 = Y + E + .5

6.5 = Y + E

6.5 - E = Y

Use Substitution in second equation to solve for E

290 = 40E + 50Y

290 = 40E + 50(6.5 - E)

290 = 40E + (325 - 50E)

290 = 40E + 325 - 50E

290 = -10E + 325

-35 = -10E

10E = 35

E = 3.5 hours, time traveled before lunch

Note: The following is unnecessary

Solve for Y, Again

Y = 6.5 - E

Y = 6.5 - 3.5

Y = 3 hours, time traveled after lunch

So the man traveled for 3.5 hours and then ate lunch. Then he traveled for 3 more hours.

So...

10am + 3.5 hours = 1:30pm - the time when he ate lunch

4 0

3 years ago

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