The position of a particle moving along a coordinate axis is given by s(t) = t^2 - 5t + 1. Find the speed ,velocity and acceleration

speed is 2t - 5

velocity is 2t - 5

a = 2 m/s²

Step-by-step explanation:

Given the position of a particle expressed as:

s(t) = t^2 - 5t + 1

speed v = ds/dt

ds/dt = 2t - 5

Hence the speed is 2t - 5

velocity can also  be expressed as the speed, hence, velocity is 2t - 5

Acceleration is the change in velocity with respect to time. Hence;

a = dv/dt

a = 2 m/s²

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2