A metallic sphere is dropped from a height $$20$$ m above the horizontal hard floor. The sphere strikes the floor in turn and rebounds several times. If the dropped sphere makes $$2$$ nd impact with floor after a time interval of $$4$$ seconds from the time of dropping, the distance travelled by the sphere during that time is $$g=10$$ $$ms-2$$

Question

A metallic sphere is dropped from a height $$20$$ m above the horizontal hard floor. The sphere strikes the floor in turn and rebounds several times. If the dropped sphere makes $$2$$ nd impact with floor after a time interval of $$4$$ seconds from the time of dropping, the distance travelled by the sphere during that time is $$g=10$$ $$ms-2$$

Infinity Learn · Accepted Answer

$$2hg1+2e=4$$⇒$$e=124g2h-1=0.5and$$ $$S=h+2h1=h+2e2h=20+2$$×$$0.25$$×$$20=30$$ m

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