Im confused on number two can u help me through it

Hi there!

We can solve this in two ways, using the Work-Energy theorem or kinematics.

Work-Energy:

We know that:

Ei = Ef, as long as there are no external forces working on the system.

Thus:

Ei = PE = mgh

Ef = KE = 1/2mv²

Therefore:

mgh = 1/2mv²

We can cancel out the mass:

gh = 1/2v²

9.8(10) = 1/2v²

√196 = v = 14 m/s

We can also solve using kinematics, using the equation:

vf² = vi² + 2ad

From rest (vi = 0 m/s) and a = g, so:

vf² = 2gd

vf = √2gh

vf = √(2 × 9.8 × 10) = 14 m/s

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