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feithompson feithompson
  • 31-12-2016
  • Mathematics
Answered

Suzie Lavtaski has reached the end of the ski slope and abruptly decelerates from 29.0 m/s to 1.8 m/s in 1.45 seconds. determine the acceleration rate and the distance she moved during the breaking period.

Verified Answer :

arthurpdc
arthurpdc arthurpdc
  • 31-12-2016

Using \(v=v_0+at\):

\(1.8=29+a\cdot1.45\iff 1.45a=-27.2\iff \boxed{a\approx-18.76~m/s^2}\)

Using \(v^2=v_0^2+2a\Delta S\):

\(1.8^2=29^2+2(-18.76)\Delta S\\\\ 3.24=841-37.52\Delta S\\\\ \Delta S=\dfrac{841-3.24}{37.52}\iff\boxed{\Delta S\approx22.33~m}\)

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