An object initially at rest experiences an acceleration of 9.8 m/s^2. How much time will it take to achieve a velocity of 58 m/s?
To find the time it takes for an object to achieve a certain velocity with a known acceleration, you can use the motion equation:
v = u + at
Where:
v is the final velocity (58 m/s in this case)
u is the initial velocity (0 m/s as the object starts from rest)
a is the acceleration (9.8 m/s^2)
t is the time
Rearranging the equation, we have:
t = (v - u) / a
Substituting the given values, we get:
t = (58 m/s - 0 m/s) / 9.8 m/s^2
Simplifying, we find:
t = 58 m/s / 9.8 m/s^2
t = 5.92 seconds (rounded to two decimal places)
Therefore, it will take approximately 5.92 seconds for the object to achieve a velocity of 58 m/s.