Answer:
(i) 15 m, 6 m/s
(ii) 90 m
Step-by-step explanation:
(i) For some acceleration (a) from rest, the distance covered (d) in time t is ...
d = (1/2)at^2
The distance covered by Ben in the 5 seconds he is accelerating is ...
d = (1/2)(1.2 m/s²)(5 s)² = 15 m
Of course, Ben's speed at that point is ...
s = (1.2 m/s²)(5 s) = 6 m/s
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(ii) When Ben has been walking 5 s, Alan has been walking 10 s, so Alan has covered (10 s)(4 m/s) = 40 m. Their distance difference of 40 -15 = 25 m is being made up at the rate of their speed differences: (6 m/s) -(4 m/s) = 2 m/s.
It will take (25 m)/(2 m/s) = 12.5 s additional time for Ben to catch Alan. In the 22.5 s that Alan has been walking before they meet, he will have walked ...
(22.5 s)(4 m/s) = 90 m . . . the distance OP
Answer:
9v-18
Step-by-step explanation:
.........................................
Irrational numbers
hope this helped :)
<span>1. </span><span>Your total cost if 11.50 dollars.
It says that you ordered pancakes and a fruit cup
Pancake costs = x
Fruit cup cost = 1.50 dollars
you leave a tip = 15%
The equation would be:
=> (1.50 + x) .15 = 11.50 dollars
=> x = 11.50 – 1.50 x .15
=> Now, let’s find the cost of the
pancake
=> 11.50 - 1.50 fruit cake = 10
=> 10 x .15 tip = 8.5
Thus, the price of the pancake is 8.5</span>