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Ostrovityanka [42]
4 years ago
13

A train traveling at 10m/s slows down to a complete stop in 20s. What is the

Mathematics
1 answer:
Flauer [41]4 years ago
6 0

Answer:

The acceleration of the train is 0.5m/s²

Step-by-step explanation:

Given

Velocity of the train = 10m/s

Time taken = 20 s

Required

Find the acceleration of the train.

The Acceleration if an object is the rate of change of the velocity of the object over time.

In other words, acceleration is calculated by dividing velocity by time.

Mathematically,

Acceleration = velocity ÷ Time

By substituting 10m/s for velocity and 20s for time, we have

Acceleration = 10m/s ÷ 20s

Acceleration = 10/20 m/s²

Acceleration = ½m/s²

Acceleration = 0.5m/s²

Hence, the acceleration of the train is 0.5m/s²

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A baseball player hits a pitched ball when it is 4 ft above the ground. The initial upward velocity is 80 ft/s. How
iren [92.7K]

Answer:

t=+4.06

Step-by-step explanation:

when the baseball hits the ground, the height will be 0.

h=0we are given that h=−16t2+64t+4.

this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.

since time cannot be negative, only the positive value can be taken.

this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.

7 0
2 years ago
Consider the sequence 8, 14, 20, 26, . . .. (a) What is the next term in the sequence? 2.2 Exercises 98 (b) Find a formula for t
omeli [17]

Answer:

Step-by-step explanation:

Each term of the given arithmetic sequence is 6 more than the previous one.  Thus, the next term is 26+6, or 32.

a(n) = 8 + 6(n-1)

3 0
3 years ago
What is the scale factor of 24 and 18<br><br> 1/6<br> 2/3<br> 1/4<br> 3/4
Soloha48 [4]

Answer:

The answer is 3/4

Step-by-step explanation:

look up scale factor calculator

4 0
3 years ago
3 friends are selling items at a bake sale. May makes $23.25 selling bread. Inez sells gift baskets and make 100 times as much a
Zigmanuir [339]

Answer:

May: $23.25

Inez: $2325

Jo: $232.5

Step-by-step explanation:

Inez makes 100 times as much as May. Since May makes $23.25, move the decimal point two places to the right to multiply the number by 100. You will get $2325. Jo makes 1/10 of the money Inez makes. Pretend there is a decimal point at the end of 2325. Move the decimal point one place to the left to divide by 10. You will get $232.5.

8 0
3 years ago
Read 2 more answers
I ate twice as many apples as bananas and 3 times as many blueberries as bananas. If I
Vesna [10]

Answer:

Below.

Step-by-step explanation:

Let the number of bananas I ate be x.

Number of apples = 2x.

Number of blueberries = 3x.

So we have the equation:

x + 2x +3x = 12

6x = 12

x = 2.

So I ate 2 bananas, 4 apples and 6 blueberries.

6 0
3 years ago
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