Suppose you throw a rock from an initial height h 0 at a speed v 0 and angle fro

Question

     Suppose you throw a rock from an initial height h0at a speed v0 and angle from the horizontal. Thatis,v(0)+vx0i+vy0j,where vx0=v0cos andvy0=v0sin. Yes, assumea=-gj. a) Find the rock's velocity as a function of time, v(t)(that's a vector!). I am confused with all the equations they give. I don'tknow what to do with them all. Suppose you throw a rock from an initial height h0at a speed v0 and angle from the horizontal. Thatis,v(0)+vx0i+vy0j,where vx0=v0cos andvy0=v0sin. Yes, assumea=-gj. a) Find the rock's velocity as a function of time, v(t)(that's a vector!). I am confused with all the equations they give. I don'tknow what to do with them all.

Explanation / Answer

a) vy(t) = vyi (0) + at =v0sin() +at = v0sin() - gt vx(t) = vx0 = v0cos()   not acceleration in xdirection, the velocity function (vector) is: v(t) = v0 cos() i + (v0sin() - gt) j

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