A person pushing a stroller starts from rest, uniformly accelerating at a rate of [tex]0.500 \, \text{m/s}^2[/tex]. What is the velocity of the stroller after it has traveled [tex]4.75 \, \text{m}[/tex]?
Answer (3)
You're going to use the constant acceleration motion equation for velocity and displacement: (V)final²=(V)initial²+2a(Δx)
Given: a=0.500m/s² Δx=4.75m (V)intial=0m (V)final= UNKNOWN
(V)final= 2.179m/s
The velocity of the stroller is approximately 2.18 m/s
I Hope this helps , greetings... Dexteright02 ! ; Hello!
A person pushing a stroller start from rest uniformly accelerating at a rate of 0.500 m/s². What is the velocity of the stroller after it traveled 4.75 m ?
We have the following data:
a (acceleration) = 0.500 m/s²
Vf (final velocity) = ? (in m/s)
Vi (initial velocity) = 0 m/s
Δx (displacement) = 4.75 m
Solving:
Let's apply the Torricelli Equation, to find the velocity of the stroller, let's see:
V f 2 = V i 2 + 2 ∗ a ∗ Δ x
V f 2 = 0 2 + 2 ∗ 0.500 ∗ 4.75
V f 2 = 0 + 4.75
V f 2 = 4.75
V f = 4.75
V f ≈ 2.18 m / s ✓ ✓ ✓
The velocity of the stroller after traveling 4.75 m with an acceleration of 0.500 m/s² is approximately 2.18 m/s. This was calculated using the formula for final velocity in uniformly accelerated motion. The initial velocity was zero since the stroller starts from rest.
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