A baby sitter pushing a stroller starts from
rest and accelerates uniformly at a rate of
0.557 m/s2.
What is the velocity of the stroller after it
has traveled 5.85 m?
Answer in units of m/s
V = ?
Vo = 0
a = 0.557 m/s^2
d = 5.85 m.
V^2 = Vo^2 + 2a*d. Solve for V.
To find the velocity of the stroller after it has traveled a certain distance, we can use the equations of motion.
The equation that relates distance, initial velocity, acceleration, and final velocity is:
v^2 = u^2 + 2as
Where:
v = final velocity
u = initial velocity (in this case, the stroller starts from rest, so u = 0)
a = acceleration (given as 0.557 m/s^2)
s = distance traveled (given as 5.85 m)
Plugging in the values, we have:
v^2 = 0^2 + 2(0.557)(5.85)
Simplifying the equation:
v^2 = 0 + 6.47
Taking the square root of both sides to solve for v:
v = √6.47
Calculating the square root of 6.47, we find:
v ≈ 2.54 m/s
Therefore, the velocity of the stroller after it has traveled 5.85 m is approximately 2.54 m/s.