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Question

C https://www You have 4 days lent in your Cengage Unimited subsecipton thal Learn more tor iess wm access to over 22000 cboos and atal eing cs upgrace Teay Need Help? -15 points SerPSE10 2.7 OP013 A pontoon boat approaches a low bridge 100 m ahead at a velocity of 32.5 m/s. The pliot reduces the throttle, slowing the boat with a constant acceleration of -2.80 m/s? (a) How long (in s) does it take the boat to reach the bridge? (b) What is the velocity (in m/s) of the boat when it reaches the bridge? (Tndicate the direction with the sign of your answer) m/s Need Help? Road 10 2.7 0P014 A truck covers 33.0 m in 8.40 s while smoothly slowing down to final speed of 2.60 m/s. a) Find its original speed m/s

Explanation / Answer

here,

the distance of bridge , s = 100 m

initial speed , u = 32.5 m/s

accelration , a = - 2.8 m/s^2

a)

let the time taken be t

s = u * t + 0.5 * a * t^2

100 = 32.5 * t + 0.5 * (-2.8) * t^2

solving for t

t = 3.65 s

the time taken to reach the bridge is 3.65 s

b)

let the final veocity be v

using third equation of motion

v^2 - u^2 = 2 * a * s

v^2 - 32.5^2 = 2 * 100 * ( -2.8)

solving for v

v = 22.3 m/s

the final velocity of boat is 22.3 m/s