Substitute 
and 
. Then the integral transforms to
Apply the power rule.
Now put the result back in terms of 
.
Answer:
a) v = 12.21m/s
a = 4.07 m/s²
b)v = 11.24m/s
a = 3.75 m/s²
Step-by-step explanation:
a) Dividing the moviment into two parts:
I - With acceleration
v = v₀ + at
s = s₀ + v₀t + at²/2
- v₀ = 0
- s₀ = 0
- a = ?
- v = ?
- t = 3s
- s = x
v = v₀ + at
v = 3a ⇒ a = v/3
s = s₀ + v₀t + at²/2
x = v/3.3²/2
x = 3v/2
II - Uniform
s = s₀ + vt
s = 100
s₀ = x
v = v
t = 9.69 - 3 = 6.69s
s = s₀ + vt
100 = x + v*6.69
100 = x + 6.69v
As x = 3v/2
100 = 3v/2 + 6.69v
100 = 1.5v + 6.69v
100 = 8.19v
v = 12.21m/s
a = v/3 = 4.07 m/s²
b) Dividing the moviment into two parts:
I - With acceleration
v = v₀ + at
s = s₀ + v₀t + at²/2
- v₀ = 0
- s₀ = 0
- a = ?
- v = ?
- t = 3s
- s = x
v = v₀ + at
v = 3a ⇒ a = v/3
s = s₀ + v₀t + at²/2
x = v/3.3²/2
x = 3v/2
II - Uniform
s = s₀ + vt
s = 200
s₀ = x
v = v
t = 19.30 - 3 = 16.30s
s = s₀ + vt
200 = x + v*16.3
100 = x + 16.3v
As x = 3v/2
200 = 3v/2 + 16.3v
200 = 1.5v + 16.3v
200 = 17.8v
v = 11.24m/s
a = v/3 = 3.75 m/s²
If altogether they spent a total of $71, and a cap cost $5, then the price of a t-shirt is $8. Option A is correct
From the question, we are told that all caps cost $5 each
Let the cost of each shirt be x:
If Andy bought a t-shirt and a cap for each of his six friends, there will be 6 shirts and 6 caps
If <u>Bob returned two caps and two t-shirts</u>, there will be 4 caps and 4 shirts left
If <u>Carl bought three t-shirts and returned a cap,</u> the number of caps remaining will be 3 caps and the number of shirts remaining will be 7 shirts
If they spent a total of $71, this means;
3(5) + 7x = 71
15 + 7x = 71
7x = 71 - 15
7x = 56
x = 56/7
x = 8
This shows that the price of a t-shirt is $8
Learn more here: brainly.com/question/16510024
Answer:
one equation would be S+ L=36for the number of shirts sold.
Answer:
D
Step-by-step explanation:
Substitute the value of x in each function and check if it's equal to it's corresponding value of y.
Correct me if I'm wrong. I hope it helps.
