A hammer falls from a construction worker's hand 30m above the ground at the same time that a filled soft drink can is projected vertically upward from the ground at a velo…

Question

asked Oct 3, 2022 164k views

1 Answer

Offworldwelcome · Answer 1 · 2022-10-10T06:18:54+0000

For harmer:-

Now

$\\ \sf\longmapsto s=ut+(1)/(2)gt^2$

$\\ \sf\longmapsto s=0t+(1)/(2)(10)t^2$

$\\ \sf\longmapsto s=5t^2\dots(1)$

For soft drink:-

$\\ \sf\longmapsto 30-s=(24)t+(1)/(2)(10)t^2$

$\\ \sf\longmapsto 30-5t^2=24t-5t^2$

$\\ \sf\longmapsto 24t=30$

$\\ \sf\longmapsto t=(30)/(24)$

$\\ \sf\longmapsto t=1.2s$

Now

putting t in eq(1)

$\\ \sf\longmapsto s=5t^2=5(1.2)^2=5(1.44)=7.2m$