Answer:
.
Assumptions:
- The object is dropped in a free fall.
- There's no air resistance.
- The downward acceleration due to gravity is
Explanation:
Consider the "SUVAT" equation
,
where
- is the final velocity,
- is the initial velocity,
- is the acceleration of the object, and
- is the change in the object's position.
For example, if the bottle needs to achieve a speed of by the time it reaches the ground,
- since the statement that the bottle is "dropped" implies a free fall.
- .
Apply the previous equation to find the minimum height, :
.
Replace the value and apply the formula to find the minimum height required to reach different final speeds.
Answer: -5 m/s
Explanation:
First find the net force by summing up the forces:
-10N + 5N = -5N
Use Newton's Second Law of motion to solve for the acceleration:
F = ma
-5N = 1kg(a)
a = -5 m/s^2
Use the first kinematic equation to solve for the final velocity:
Vf = Vi + at
Vf = 0 + (-5)(1)
Vf = -5 m/s
it is c. safest when passing a large truck
hope this helps* :)
Answer:
Explanation:
a ) x ( t ) = t³ / 3 - t² + t
v = dx / dt = 3 t² / 3 - 2 t + 1 = t² - 2 t + 1
b ) lizard is at rest , v( t ) = 0
t² - 2 t + 1 = 0
( t - 1 )² = 0
t = 1
c )
velocity is positive when
t² - 2 t + 1 > 0
( t - 1 ) ² > 0
Here we see that LHS is a square so it is always positive whatever be the value of t
So velocity is always positive or lizard is always moving in positive x direction .
d ) It never moves in negative x direction .
e )
a ( t ) = dv / dt = 2t - 2
t = 1
so it has zero acceleration at t = 0 .
Answer:
Volcanoes on Earth form from rising magma. ... Magma also rises when these tectonic plates move toward each other. When this happens, part of Earth's crust can be forced deep into its interior. The high heat and pressure cause the crust to melt and rise as magma.