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At t = 0 the components of a radio-controlled car’s velocity are vx = 0.5 m/s and vy = 1.2 m/s. Find the components of the car’s velocity at
Question
At t = 0 the components of a radio-controlled car’s velocity are vx = 0.5 m/s and vy = 1.2 m/s. Find the components of the car’s velocity at t = 4.1 s, given that the components of its average acceleration during this period are ax = 2 m/s2 and ay = -1 m/s2.
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Physics
5 years
2021-09-02T21:59:44+00:00
2021-09-02T21:59:44+00:00 1 Answers
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Answers ( )
Answer:
vx’ = 8.7 m/s
vy’ = – 2.9 m/s
Explanation:
The average acceleration during a time period is given by the formula:
a = (v’ – v)/(t’ – t)
where,
a = average acceleration
v’ = Final Velocity
v = Initial Velocity
t’ = Ending Time
t = Starting Time
Now, for x-component of velocity:
a = ax = 2 m/s²
v’ = vx’ = ?
v = vx = 0.5 m/s
t’ = 4.1 s
t = 0 s
Therefore,
2 m/s² = (vx’ – 0.5 m/s)/(4.1s – 0s)
(2 m/s²)(4.1 s) = vx’ – 0.5 m/s
8.2 m/s + 0.5 m/s = vx’
vx’ = 8.7 m/s
For y- component of velocity:
a = ay = -1 m/s²
v’ = vy’ = ?
v = vy = 1.2 m/s
t’ = 4.1 s
t = 0 s
Therefore,
– 1 m/s² = (vy’ – 1.2 m/s)/(4.1s – 0s)
(- 1 m/s²)(4.1 s) = vy’ – 1.2 m/s
– 4.1 m/s + 1.2 m/s = vy’
vy’ = – 2.9 m/s