At 5:11 p.m. in the highway and at the height of a town, a police patrol was traveling at a speed of 18.0 m / s towards the city, when the citizen's car approaches a speed of 94 mi / h towards the city. After a reaction time of 0.800 seconds, the police start chasing the citizen with an acceleration of 5.00 m / s2. Including the reaction time: (a) How long does it take for the police patrol to reach the citizen? (b) Indicate how far it reaches, from the moment the chase begins, and create a Position vs. time graph, showing the two movements (that of the citizen and the police patrol)
At 5:11 p.m. in the highway and at the height of a town, a police patrol was traveling at a speed of 18.0 m / s towards the city, when the citizen's car approaches a speed of 94 mi / h towards the city. After a reaction time of 0.800 seconds, the police start chasing the citizen with an acceleration of 5.00 m / s2. Including the reaction time:
(a) How long does it take for the police patrol to reach the citizen?
(b) Indicate how far it reaches, from the moment the chase begins, and create a Position vs. time graph, showing the two movements (that of the
citizen and the police patrol)
(a)
Consider the time taken by police petrol to reach the citizen after the reaction time be t.
Calculate the distance traveled by the citizen after crossing the police petrol and till the police reaches to the citizen.
Write the expression for the distance traveled by the police reaches to the citizen, and solve for the time t. The distance traveled by the police and citizen will be equal.
Solve the above quadratic equation and calculate for the time t.
The total time taken by the police petrol to reach to the citizen is,
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