Question

A derrick boat approaches a two-mile marker 100 m ahead at a velocity of 31.0 m/s. The pilot reduces the throttle, slowing the boat with a constant acceleration of -2.80 m/s^2. How long (in s) does it take the boat to reach the marker? What is the velocity (in m/s) of the boat when it reaches the marker? (Indicate the direction with the sign of your answer.)

Name: a derrick boat approaches a two mile marker 100 m ahead at a velocity of 310 ms the pilot reduces the throttle slowing the boat with a constant acceleration of 280 ms2 how long in s does it 76814
Uploaded: 2022-03-30T17:12:26-08:00
Duration: 3 min 24 s
Channel: Shravya S
Description: a derrick boat approaches a two mile marker 100 m ahead at a velocity of 310 ms the pilot reduces the throttle slowing the boat with a constant acceleration of 280 ms2 how long in s does it 76814

          A derrick boat approaches a two-mile marker 100 m ahead at a velocity of 31.0 m/s. The pilot reduces the throttle, slowing the boat with a constant acceleration of -2.80 m/s^2.
How long (in s) does it take the boat to reach the marker?
What is the velocity (in m/s) of the boat when it reaches the marker? (Indicate the direction with the sign of your answer.)

Added by Robert M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Shravya S

03/30/2022

Step 1

Given: Initial velocity, u = 31.0 m/s Acceleration, a = -2.80 m/s^2 Distance, s = 100 m Using the equation of motion: s = ut + (1/2)at^2 100 = 31t + (1/2)(-2.80)t^2 100 = 31t - 1.40t^2 Solving the quadratic equation, we get: t = 3.92 seconds (ignoring the Show more…

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A derrick boat approaches a two-mile marker 100 m ahead at a velocity of 31.0 m/s. The pilot reduces the throttle, slowing the boat with a constant acceleration of -2.80 m/s^2. How long (in s) does it take the boat to reach the marker? What is the velocity (in m/s) of the boat when it reaches the marker? (Indicate the direction with the sign of your answer.)