Solving Physics Problem: Finding Time of Free Fall
The image shows two physics problems. We'll solve the second problem, as it is the first complete one seen in the image:
"2. A freely falling body starting from rest attains a velocity of 45 m/s. How long has it been falling?"
To solve this question, we can use the kinematic equation for uniformly accelerated motion:
v = u + at
where:
v = final velocity (45 m/s)
u = initial velocity (0 m/s, since it starts from rest)
a = acceleration (9.8 m/s², the acceleration due to gravity)
t = time (this is what we're solving for)
Let's plug in the known values:
45 m/s = 0 m/s + (9.8 m/s²) * t
Now, solve for t:
t = 45 m/s / 9.8 m/s²
t ≈ 4.59 seconds
So, the body has been falling for approximately 4.59 seconds.
