If an egg is thrown straight up in the air, then falls and reaches a point 30m below its starting point 5 seconds after it leaves the thrower's hand: What is the initial speed of the egg? How high does it rise above its starting point? What is the magnitude of its velocity at the highest point? 0 m/s What are the magnitude and acceleration at the highest point? 9.8 m/s2 downward Sketch a-t, v-t, and x-t graphs for the motion of the egg. Easy enough I have tried so many different methods and they all bring me to what seem like dead ends. I wrote out three equations just for the initial upward movement and tried to substitute: x=0+v0t+1/2(-9.8)t2 0=v0+(-9.8)t 0=v02+2(-9.8)x My attempt at substituting: The first equation becomes: v0=x/t+4.9t The second becomes: v0=9.8t The third becomes: v02/19.6=x Putting the first and second together, we get: 9.8t=x/t+4.9t 4.9t=x/t 4.9t2=x Then substituting the third: 4.9t2=v02/19.6 Dead end? I also tried: v02/19.6=v0t+(-4.9)t2 But I don't even know where to start to solve that. Any ideas folks?