Answer:
67.6m/s
Explanation:
Given parameters:
Initial velocity = 8.2m/s
Acceleration = 9.0m/s²
Time = 6.6s
Unknown:
Final velocity = ?
Solution:
To solve this problem, we use the expression below:
Acceleration =
v is the final velocity
u is the initial velocity
t is the time taken
9 =
v - 8.2 = 59.4
v = 59.4 + 8.2 = 67.6m/s
As stated in the statement, we will apply energy conservation to solve this problem.
From this concept we know that the kinetic energy gained is equivalent to the potential energy lost and vice versa. Mathematically said equilibrium can be expressed as
Where,
m = mass
= initial and final velocity
g = Gravity
h = height
As the mass is tHe same and the final height is zero we have that the expression is now:
In kynematics you describe the motion of particles using vectors and their change in time. You define a position vector r for a particle, and then define velocity v and acceleration a as
In dynamics Newton's laws predict the acceleration for a given force. Knowing the acceleration, and the kynematical relations defines above, you can solve for the position as a function of time: r(t)