SOLUTION: A dog chased a cat across a farm field. The dog was running at the speed of 13 m/s, while the cat was travelling at 11 m/s. The cat started the chase 16 m ahead of the dog and was

Question 905431: A dog chased a cat across a farm field. The dog was running at the speed of 13 m/s, while the cat was travelling at 11 m/s. The cat started the chase 16 m ahead of the dog and was 77 m from the safety of an oak tree. calculate whether or not the dog caught the cat.
Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Dog: 93m/13mpsec = 7.15sec
cat 77m/11mpsec = 7 sec
dog did not catch the cat
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The cats head start was m
Start a stop watch when the dog starts running
Let = time when the dog catches
( or does not catch ) cat depending on whether
the cat makes it to the tree
Let = distance dog runs until dog
catches cat ( or can't catch cat, because
cat is up the tree )
------------------------------------------
Dog's equation:
(1)
Cat's equation:
(2)
-------------------
Substitute (1) into (2)
(2)
(2)
(2)
and
(1)
(1)
(1)
-------------------
When the cat reaches the tree,

Since the dog needs sec
to catch the cat, The cat will be safe
-------------------------------
check:
In sec, the dog has traveled

m
The dog needs to m
to catch the cat, so cat is safe

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