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.

0

09.07.2023, solved by verified expert

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:

### Faq

Mathematics

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:

Mathematics

The answer is in the image

Mathematics

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

The answer is in the image

Mathematics

The answer is in the image

Mathematics

The answer is in the image

Mathematics

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Mathematics

The solution is in the following image

Mathematics

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

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

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