The following information applies to the next two questions. A police officer is

Question

The following information applies to the next two questions. A police officer is chasing a burglar across a rooftop. The burglar is running at 4.50 m/s when he jumps horizontally, trying desperately to reach the next roof which is 6.20 m away, but 4.80 m lower. How much time docs the burglar spend in free-fall as he falls through the vertical distance of 4.80 m? (A) 0.990 s (B) 1.15s (C) 1.27 s (D) 1.48 s (E) 1.60 s What horizontal distance docs the burglar travel during the time he falls 4.80 m vertically? (A) 4.20 m (B) 4.45 m (C) 4.80 m (D) 5.15 m (E) 5.50 m The police officer wishes to avoid the tragic fate of the burglar. If she also jumps horizontally from one building to the next, what must be her minimum initial speed? (A) 4.98 m/s (B) 6.80 m/s (C) 5.71 m/s (D) 7.37 m/s (E) 6.26 m/s

Explanation / Answer

From the given question,

y=4.8m, uy=0, ux=4.5, x=6.2 m

15. y=uyt + (1/2)gt2

4.8=0+(1/2)(9.8)(t2)

t=0.990 s (option A)

16. x= ux t

=4.5 x 0.990

=4.45 m( option B)

17. x= ux t

6.20=ux * 0.990

ux=6.26 m/s (option E)

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