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Fed [463]
3 years ago
9

A police officer is chasing a purse-snatcher down a street. The thief

Physics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:

3 seconds

Explanation:

We can give an expression for the position of both the thief and of the police officer at time t.

The position of the thief at time t is given by

x_t = 9 + 5t

where 9 is its initial position in m and 5 is its speed in m/s.

Instead, the position of the police officer at time t is given by

x_o = 0+8t

where 0 is its initial position in m and 8 is its speed in m/s.

The police officer will catch the thief when their position will be equal, so

x_t = x_o

By solving,

9+5t=8t\\3t=9\\t=3 s

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