Answer:
Step-by-step explanation:
Given
--- acceleration
--- final velocity
--- initial velocity (it is 0, because the car starts from rest)
Required
Determine the time taken
This will be solved using Newton's first equation of motion:
Substitute values for v, u and a
Make t the subject
<em>Hence, the time taken is approximately 5.2 seconds</em>
A. -2x + 3y = -15
-2x + 2x + 3y = 2x - 15
3y = 2x - 15
3 3
y = ²/₃ - 5
A is correct.
B. y = ²/₃ - 5
B is also correct.
C. 6y = 4x - 30
6 6
y = ²/₃x - 5
C is also correct.
D. y + 3 = ²/₃(x - 3)
y + 3 = ²/₃(x) - ²/₃(3)
y + 3 = ²/₃x - 2
- 3 - 3
y = ²/₃x - 5
D is also correct.
The answer to the problem is A, B, C, and D.
A bacteria culture starts with 500 bacteria and doubles in size every half hour.1
(a) How many bacteria are there after 3 hours?
We are told “. . . doubles in size every half hour.” Let’s make a table of the time and population:
t 0 0.5 1.0 1.5 2.0 2.5 3.0
bacteria 500 1000 2000 4000 8000 16000 32000
Thus, after three hours, the population of bacteria is 32,000.
(b) How many bacteria are there after t hours?
In t hours, there are 2t doubling periods. (For example, after 4 hours, the population has doubled 8
times.) The initial value is 500, so the population P at time t is given by
P(t) = 500 · 2
2t
