Question
ACar Is Speeding At A Car Cwww.chegg.com/homework-help/questions-and-answers/car-speeding -constant-25-m-s- Chegg BOOKS MORE> Find books, solutions, tutors a home / homework help /questions and answers / sclenoes /physics/ a car is speeding at a constant 25 m/s (58 mih) Question a car is speeding at a constant 25 m/s (56 mi/h) in a school zone. a police car starts from rest just as the speeding car passes by it and accelerates at a constant rate of 5.0 m/sA2. (a) when does the police car catch the speeding car ? and (b) how fast is the police car traveling when it catches up with the speeder? Comment> Answers Was this answer hel Vinay@ 123 answered this 44 minutes later 65 answers , 65% Best Answer We now the distance both cars went in the same time
Explanation / Answer
When the police car catches up to the speeding car, they both will have traveled the same distance.
Distance traveled by the speeding car = (25 m/s) T, where
T = time it takes for police car to catch the speeding car
Distance traveled by the police car = (0.5)(5 m/s^2) T2
Setting these two equations equal:
25T = 2.5T2
2.5T = 25
T = 10 s
Speed of police car = (5 m/s^2)*10
= 50 m/s