The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 4 sin(πt) + 2 cos(πt),

where t is measured in seconds. (Round your answers to two decimal places.)

Complete Question

The displacement (in centimetres) of a particle moving back and forth along a straight line is given by the equation of motion

s = 4 sin(πt) + 2 cos(πt),

where t is measured in seconds. (Round your answers to two decimal places.)

(a) Find the average velocity during each time period.

i. [1,2]

ii. [1 ,1.1]

iii. [1, 1.01]

Step-by-step explanation:

From the question we are told that

Equation of motion is given by

Generally equation for average velocity is mathematically given by

a) Co-ordinate(1,2)

b)Co-ordinate(1,1.1)

c) Co-ordinate(1,1.01)

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

a c

step-by-step explanation: