Projectile motion is when the direction of an object follows the shape of an arc. The only force acting on the object is gravity. Also, the concept is that the motion of the horizontal and vertical directions are independent. Therefore, assuming no air resistance, the time for a rock thrown over the cliff at some angle to reach the ground will be the same time if you just simply free-fall the rock.
Hence, we can solve this using rectilinear motion equations.
y = vt + 1/2*a*t^2, where
y is the vertical distance
v is the initial velocity
a is the acceleration due to gravity equal to -32.2 ft/s^2
t is the time of flight
However, it would be impossible to have 0 height. I think there is some typographical error right there. Let's just assume a height of 1000 ft. Substituting the values,
100 = 160*t + 1/2*-32.2*t^2
t = 9.3 seconds
Answer:
Step-by-step explanation:
Given
The side of the triangle are
Suppose the third side is
Also, the sum of the two sides of the triangle is always greater than the third
Similarly,
Also,
From (i) and (ii) we get
<h3>Explain why it is helpful to know the basic function shapes and discuss some ways to remember them. </h3>
- Knowing the basic function shapes and discuss some ways to remember them is helpful because this is useful tools in the creation of mathematical models because we constantly make theories about the relationships between variables in nature and society. Functions in school mathematics are typically defined by an algebraic expression and have numerical inputs and outputs.
z = -11
Steps:
8z+12 = 5z-21
Subtract 12 from both sides
8z+12-12 = 5z-21-12
Simplify
8z = 5z-33
Subtract 5z from both sides
8z-5z = 5z-33-5z
Simplify
3z = -33
Divide both sides by 3
3z/3 = -33/3
Simplify
z = -11
Hope this helps you! (:
-Hamilton1757