1.

The distance covered by an object (in meter) is given by `s=8 t^(3)-7t^(2)+5t` Find its speed at t = 2 s.

Answer» As speed `=("Distance")/("Time")`
`therefore` Speed `=(ds)/(dt)`
`=(d)/(dt)(8t^(3)-7t^(2)+5t)=24t^(2)-14+5`
`therefore` Speed object at any instant of time is `(24t^(2)-14t+5)ms^(-1)`
At t = 2
Speed `=24(2)^(2)-14(2)+5=73 ms^(-1)`


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