A particle accelerates from rest at 6.1 m/s
2
.
What is its speed 4.6 s after the particle
starts moving?
velocity = acceleration * time
To find the speed of the particle after 4.6 seconds, we can use the formula for constant acceleration:
\(v = u + at\)
Where:
v = final velocity (speed) of the particle
u = initial velocity of the particle (which is 0 m/s, since it starts from rest)
a = acceleration of the particle
t = time elapsed
Given:
u = 0 m/s (starts from rest)
a = 6.1 m/s² (given as the acceleration)
t = 4.6 s (time after the particle starts moving)
Substituting the given values into the equation, we have:
\(v = 0 + (6.1)(4.6)\)
\(v = 0 + 28.06\)
\(v = 28.06\) m/s
Therefore, the speed of the particle 4.6 seconds after it starts moving is 28.06 m/s.