A flowerpot falls from a window sill 27.7 m
above the sidewalk.
What is the velocity of the flowerpot when
it strikes the ground? The acceleration of
gravity is 9.81 m/s
2
.
Answer in units of m/s.
Ok I'am new to Physics so I am not 100% sure of answer but it should be 23.3 m/s downwards or in negative direction (like -23.3 m/s). assuming it was at rest at starting!!!
got this using
Vf^2= Vi^2 + 2ad
Vf^2= 0 + 2*(-9.8)(-27.7m)
Vf= sqrt(542.92)
Vf= 23.3 m/s downwards!
(first time answering question on jiskha!)
To find the velocity of the flowerpot when it strikes the ground, we can use the equations of motion.
Let's assume that the initial velocity (u) of the flowerpot is 0 m/s since it is initially at rest. The distance (s) it falls is 27.7 m, and the acceleration due to gravity (a) is 9.81 m/s^2.
We can use the equation s = ut + (1/2)at^2, where t is the time it takes to fall.
Plugging in the values, we have:
27.7 = 0*t + (1/2)(9.81)t^2
Simplifying the equation:
27.7 = 4.905t^2
Dividing both sides by 4.905:
t^2 = 5.64
Taking the square root of both sides:
t = √5.64 ≈ 2.379 seconds
Now, we can find the final velocity (v) using the equation v = u + at:
v = 0 + (9.81)(2.379)
v ≈ 23.33 m/s
Therefore, the velocity of the flowerpot when it strikes the ground is approximately 23.33 m/s.
To calculate the velocity of the flowerpot when it strikes the ground, we can use the equation of motion for an object in free fall:
v^2 = u^2 + 2as
where:
v = final velocity (what we need to find)
u = initial velocity (0 m/s as the object was initially at rest)
a = acceleration due to gravity (-9.81 m/s^2 since the object is falling downwards)
s = distance fallen (27.7 m)
Substituting the values into the equation, we get:
v^2 = 0^2 + 2*(-9.81)*27.7
Simplifying further:
v^2 = -2*9.81*27.7
v^2 = -543.4746
Since velocity cannot be negative in this context, we take the positive square root of both sides to find the magnitude of the velocity:
v = √543.4746
v ≈ 23.32 m/s
Therefore, the velocity of the flowerpot when it strikes the ground is approximately 23.32 m/s.