An object is dropped from rest. What is its instantaneous speed when it has
been in motion for 5 s? The acceleration of
gravity is 9.8 m/s2 .
Answer in units of m/s
Oh, I see we're doing some free-falling here! Well, when an object is dropped from rest (assuming no air resistance), its speed increases due to the acceleration of gravity. After 5 seconds, the object would have been in motion for a while.
To calculate its instantaneous speed, we need to use the formula: speed = initial velocity + (acceleration * time). Since the object is dropped from rest, the initial velocity is 0 m/s.
Plugging in the values, we get: speed = 0 + (9.8 * 5).
Simplifying this, we find that the instantaneous speed after 5 seconds of motion is 49 m/s.
So, remember folks, gravity can make things fall pretty fast! Just not as fast as your hopes and dreams when you accidentally overshare at a party.
To find the instantaneous speed of the object after 5 seconds of motion, you can use the equation for the speed of an object under constant acceleration:
v = u + at
Where:
v = final velocity (instantaneous speed)
u = initial velocity (0 m/s, because the object is dropped from rest)
a = acceleration (gravity, 9.8 m/s^2)
t = time (5 seconds)
Plugging in the values, we get:
v = 0 + (9.8 m/s^2) * 5 s
v = 0 + 49 m/s
v = 49 m/s
So, the instantaneous speed of the object after 5 seconds of motion is 49 m/s.
To find the instantaneous speed of an object that has been in motion for 5 seconds, we can use the equation of motion:
v = u + at
Where:
v = final velocity (instantaneous speed)
u = initial velocity (which is 0 in this case, as the object is dropped from rest)
a = acceleration (which is the acceleration due to gravity, 9.8 m/s^2)
t = time (which is 5 seconds in this case)
Let's substitute the values into the equation:
v = 0 + (9.8 m/s^2) * (5 s)
v = 0 + 49 m/s
Therefore, the instantaneous speed of the object after 5 seconds of motion is 49 m/s.
You have two equations of motion:
s = 1/2 at^2
v = at
Here you have a and t. What is the problem?
v = 9.8m/s^2 * 5.5s = 53.9m/s