Question
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1)
2.)
A motorist drives along a straight road at a constant speed of 15.0 m/s. Just as she passes a parked motorcycle police officer, the officer starts to accelerate at 3.00 m/s2 to overtake her. Assume that the officer maintains this acceleration. Determine the time it takes the police officer to reach the motorist. Your response differs from the correct answer by more than 10%. Double check your calculations. s Find the speed of the officer as he overtakes the motorist. Find the total displacement of the officer as he overtakes the motorist. Your response differs from the correct answer by more than 10%. Double check your calculations. m A particle moves along the x axis. Its position is given by the equation x = 1.8 + 2.6t - 3.6t2 with x in meters and t in seconds. Determine its position when it changes direction. Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.
Explanation / Answer
1)15 * t = 1/2 * 3 *t^2
t = 10s
c) S= 15* 10 = 150
2)
a)velocity should be 0
t = 0.36
x= 2.26
b) at t = 0.72 it reaches initial position
v= 2.6 - 3.6*2*t
= -2.58 m/s