X=9 you take DE and EF and add them up and put it equal to DF which is the whole segment
I'm assuming no air friction here, first use conservation of energy to find velocity, so initially all the energy is from the spring, (1/2)kx^2, then it is converted to kinetic energy, (1/2)mv^2. so .5kx^2=.5mv^2. the .5s cancel, kx^2=mv^2. solve for v, v=sqrt(kx^2/m) plug in your values for the variables and find v. then use vf^2=vi^2+2ax in the u direction and solve for vf, vf=sqrt(vi^2+2ax). use that velocity in vf=vi+at and solve for t. vi=0 and a=g=9.81, so vf/a=t. plug in the values from the previous equation and the acceleration due to gravity to find the time it takes to hit the ground vertically. Now use v=x/t and solve for x. x=vt, plug in the velocity of the ball horizontally, which we found with the conservation of energy part, and y which we found with the previous equation, and you get your x, the distance it will take for the ball to hit the ground.
Y = -1/2x - 1
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Answer:
inverse operation
Step-by-step explanation:
Answer:
102 sq. ft.
Step-by-step explanation:
In order to find the side lengths, we divide 1604 by 2. Since it's a square, each side is the same length. Area is length times width so we only need two sides.
1604÷2=102