Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
Answer:
<u>7</u><u>.</u><u>7</u><u> </u><u> </u>= <u>2</u><u>.</u><u>3</u>
3.6 b
<u>7</u><u>.</u><u>7b</u>= <u>8</u><u>.</u><u>28</u>
7.7 7.7
b = 1.075324675
b = 1.08
A) If the last digit in the fractional part of 1.080 is less than 5, then simply remove the last the digit of the fractional part. With 1.080, rule A applies and 1.08 rounded to the nearest hundredth is:
<span>90 + 35 = 125.
180 -125 = 55 degrees.
4.59^2 + 6.55^2 = 8^2
21.1 + 42.9= 64 inches</span>
Answer:
Step-by-step explanation:
Given
Liam deposited 
Rate of interest is 
If the amount after t years is 
Simple interest is given by

And amount is


Substituting values we get





Answer:
You have THREE OR 3 APPLES