Given:
"v_0=10\\:\\rm m\/s"
(a) the maximum height
"h_{\\max}=\\frac{v_0^2}{2g}=\\frac{(10\\:\\rm m\/s)^2}{2*9.8\\:\\rm m\/s^2}=5.1\\:\\rm m"(b) the total time of movement
"t=2*\\frac{v_0}{g}=2*\\frac{10\\:\\rm m\/s}{9.8\\:\\rm m\/s^2}=2.0\\:\\rm s"
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