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.

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:

Substituting values into SUVAT formula:

The answer is in the image 

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The answer is in the image 

The answer is in the image 

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The answer is in the image 

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2