an object starts from rest and accelerates uniformly to a speed of 100 m s^-1 after 5s. calculate the acceleration of the object.
v = a t
100 m/s = a ( 5 s)
s = 20 m/s^2
To calculate the acceleration of the object, we need to use the equation for uniformly accelerated motion:
v = u + at
Where:
v = final velocity (100 m/s)
u = initial velocity (0 m/s, since the object starts from rest)
a = acceleration (unknown)
t = time (5 seconds)
Rearranging the equation to solve for acceleration (a), we get:
a = (v - u) / t
Substituting the given values:
a = (100 m/s - 0 m/s) / 5 s
a = 20 m/s²
Therefore, the acceleration of the object is 20 m/s².