11. A baseball player running forward at 3 meters per second throws a ball with a velocity of 20 meters per second at an
angle of 20° with the horizontal. What is the resultant speed and direction of the throw?
(Show work)

22.8 m/s at 17.4°

Step-by-step explanation:

Horizontal component:vₓ = 3 + 20 cos 20° = 21.8Vertical component:vᵧ = 0 + 20 sin 20° = 6.84Magnitude:v² = vₓ² + vᵧ²v² = (21.8)² + (6.84)²v = 22.8 m/sDirection:θ = atan(vᵧ / vₓ)θ = atan(6.84 / 21.8)θ = 17.4°

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option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.