Answer:
462 ft/s
Step-by-step explanation:
The height of the bullet is modeled by:
h(t) = -16t² + 925t------------------------------------ (1)
The speed of the bullet is modeled by the first derivative of equation (1)
dh/dt= -32t + 925------------------------------------ (2)
At maximum height, dh/dt = 0
0 = -32t + 925
32t = 925
t = 925/32
= 28.91 seconds
This means that the total time to reach maximum height is 28.91 seconds
Substituting into equation (1) we can calculate the maximum height:
h = -16 (28.91)² +925 (28.91)
= -13,372.61 + 26,742.675
= 13,367.065 ft
Average speed = Total distance/ Total time
= 13,367.065/28.91
= 462.368
≈ 462 ft/s
Answer:
<em>11.29 grams </em><em>of strontium-90 were present in the original rock sample in 1933.</em>
Step-by-step explanation:
Strontium has a half-life of 28.8 years. Therefore,
1989 - 1933 = 56 years.
56 / 28.8 = 1.94 half-lives
Thus, the quantity of the radioisotope remaining will double for each half-life elapsed. moving backwards in time.
Therefore, moving backwards in time by 1.94 half-lives, the quantity remaining will double by 1.94 times.
Thus, the amount remaining in 1933 is
3.0 × (1.94)² = <em>11.29 grams</em>
Answer:
25 miles
Step-by-step explanation:
Given that:
Cammel can travel 20 miles in 8 hours;
The traveling rate or speed = distance / time
Rate = 20 miles / 8 hours = 2.5 miles per hour
The distance traveled in 10 hours at this rate will be :
Distance = speed or rate * time
Distance = 2.5 mph * 10 hours
Distance traveled = 25 miles
Answer:
Deleted account
Step-by-step explanation:
Here 3x-12y-216=0
Reducing into slope intercept form
-12y= -3x + 216
12y = 3x - 216
Which is in the form of, y = mx + c
Slope (m) = 3
Step-by-step explanation: