Answer:
t = 3.3 seconds
Step-by-step explanation:
From the formula of vertical motion of an object under gravity we can write the equation
....... (1)
Where u is the initial velocity (in feet per second) of throw of the object and t is time of travel in seconds and the value of g i.e. gravitational acceleration is 32 feet/sec².
Now, while a ball is thrown vertically upward with velocity 50 ft/sec from a height of 7 ft then the time of travel of the ball before reaching the ground, the equation (1) will be written as
As we have selected the upward direction as positive so, gravitational acceleration,g will be negative and as the displacement is downward by 7 feet, so it will be negative.
⇒ 16t² - 50t - 7 = 0 ........ (2)
Now, applying Sridhar Acharya formula,
{Neglecting the negative root as t can not be negative}
⇒ t = 3.3 seconds {Rounded to the nearest tenth}
(Answer)
Answer:
Let Lance represented by L and Nick represented by N
As per the statement:
Lance has three times as many pencils as Nick
⇒
.....[1]
It is also given that:
They have 84 pencils together.
⇒
.....[2]
Substitute the equation [1] into [2] we have;
⇒
Divide both sides by 4 we have;
N = 21
Substitute this in [1] we have;
L = 3(21) = 63
Therefore, Lance has 63 pencils and Nick has 21 pencils
Step-by-step explanation:
Since one of the boundaries is y = 0, we need to find the roots of the function 
. Using the quadratic equation, we get
But since the region is also bounded by 
, that means that our limits of integration are from 
(instead of -3) to 
.
Now let's find the volume using the cylindrical shells method. The volume of rotation of the region is given by
I believe it’s 100 hopefully it helps
