Mathematics : asked on MamaJae
 09.08.2020

a particle moves in a straight line such that its velocity after t seconds is (2t²-t) m/s. find the distance gone in the first 3 seconds.

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Step-by-step answer

09.07.2023, solved by verified expert
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22.5 m

Step-by-step explanation:

Calculate initial velocity (u) when t = 0, and velocity when t = 3:

when t = 0,  v = 2(0)² - 0 = 0  ⇒  u = 0

when t = 3,  v = 2(3)² - 3 = 15  ⇒  v = 15

SUVAT:

s = su = 0v = 15a = t = 3

Substituting values into SUVAT formula:

      a particle moves in a straight line such that, №18010927, 09.08.2020 10:46

a particle moves in a straight line such that, №18010927, 09.08.2020 10:46

a particle moves in a straight line such that, №18010927, 09.08.2020 10:46

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Mathematics
Step-by-step answer
P Answered by Specialist

22.5 m

Step-by-step explanation:

Calculate initial velocity (u) when t = 0, and velocity when t = 3:

when t = 0,  v = 2(0)² - 0 = 0  ⇒  u = 0

when t = 3,  v = 2(3)² - 3 = 15  ⇒  v = 15

SUVAT:

s = su = 0v = 15a = t = 3

Substituting values into SUVAT formula:

      \sf s=\dfrac12(u+v)t

\implies \sf s=\dfrac12(0+15)3

\implies \sf s=22.5 \ m

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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