A ball is thrown at time t = t0 vertically upwards with the speed u. The air resistance can be neglected.
t1=ug, s=u22g,t_1=\frac ug,~ s=\frac{u^2}{2g},t1=gu, s=2gu2,
1)
<u1>=sΔt=u22gug−t0=u22(u−gt0),<u_1>=\frac{s}{\Delta t}=\frac{\frac{u^2}{2g}}{\frac ug -t_0}=\frac{u^2}{2(u-gt_0)},<u1>=Δts=gu−t02gu2=2(u−gt0)u2,
2)
<u2>=s−s2Δt=0.<u_2>=\frac{s-s}{2\Delta t}=0.<u2>=2Δts−s=0.
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