Answer:
<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:
![v_f=v_o-g.t](https://tex.z-dn.net/?f=v_f%3Dv_o-g.t)
Where g is the acceleration of gravity ![g=9.8 m/s^2.](https://tex.z-dn.net/?f=g%3D9.8%20m%2Fs%5E2.)
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:
![\displaystyle t=\frac{v_o-v_f}{g}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7Bv_o-v_f%7D%7Bg%7D)
Substituting:
![\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7B22-10%7D%7B9.8%7D%3D%5Cfrac%7B12%7D%7B9.8%7D)
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
Answer:
4 hours and 33 minutes
Step-by-step explanation:
Before I answer, I was confused if recess and lunch are 35 minutes in total or 35 minutes each. My answer is if they are 35 minutes combined. If that's wrong, you can just add 35 minutes to my answer.
5*45 = 225
225+35 = 260 minutes or 4 hours and 33 minutes
Answer:
91 in²
Step-by-step explanation:
Area of tarpezoid = (sum of both bases x height) / 2
A = ((11 + 15) x 7) /2 = 91
Answer:
$17,685.45
Step-by-step explanation:
We will use the compound interest formula to solve this:
![A=P(1+\frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
The first step is to change 12% into a decimal:
12% ->
-> 0.12
Next, lets plug in the values:
![A=8,000(1+\frac{0.12}{1})^{1(7)}](https://tex.z-dn.net/?f=A%3D8%2C000%281%2B%5Cfrac%7B0.12%7D%7B1%7D%29%5E%7B1%287%29%7D)
![A=17,685.45](https://tex.z-dn.net/?f=A%3D17%2C685.45)
After 7 years, you will have $17,685.45
To see if the point is on the line, plug in one of the point values to see if it equals out.
y = 4x - 2 I will plug in 1 for x to see if y does = 3
y = 4(1) - 2
y = 4 - 2
y = 2 so (1, 2)
Dinesh is not correct because the point on the line when x = 1 is (1, 2) not (1, 3)