Answer:
The maximum height of the arrow is 125 feet.
Step-by-step explanation:
The pathway of the arrow can be represented by the equation,
.....(1)
Where h is height in in feet and t is time in seconds.
It is required to find the maximum height of the arrow. For maximum height, 
.
So,
Put t = 2.5 s in equation (1). So,
So, the maximum height of the arrow is 125 feet.
Answer:
a) h'(t)= (6cos3t,-9sin3t,3![\sqrt[]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B5%7D)
cos3t)
b) t=0.93994736+πn/3
c) Magnitude of h(t) is 3 which is a constant, so h(t) lies on a sphere
Step-by-step explanation:
You want to begin by changing your units to the same thing. The problem uses minutes and hours, and according to time 1 hour is 60 minutes.
Since we have 2 hours we want to multiply 60 by 2 to get 120. According to the problem, the biker to an extra 30 minutes and adding that to the time we already calculated we get 150.
We can say, the biker took 150 minutes to go through 45 miles. To find out how many miles he took per minute, we divide them (45/150) to get that he or she went through 0.3 miles per minute.
Again, we know 1 hour is 60 minutes, so to get how many miles per hour we want to multiply .3 by 60. This gets us 18.
Therefore, the biker travels 18 miles per hour
Answer:
$6 a week.
Step-by-step explanation:
subtract from week 4-12 and you get $6 a week.
