Aball rolling down an inclined plane travels, in successive seconds, k feet, 2.5k feet, 4k feet, etc… . find the distance traveled by the ball

The total distance traveled by the ball is given by the expression

The sequence that shows the distance rolled by the inclined plane in successive seconds is:

k, 2.5k, 4k, ................

The common difference d = 4k - 2.5k

The common difference, d = 1.5k

The first term, a = k

Let the number of terms be represented by n

The sum of n terms of an AP is given by the formula

Substitute a = k, d = 1.5k into the equation above

Learn more on sum of an AP here: link

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)