A particle moves along a path x = y²+2y+2 plane such that the y-component of its velocity remains constant at 2 m/s. The magnitude of its acceleration is
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ANSWER
x=y
2
+2y+2
v
x
=
dt
dx
=2y
dt
dy
+2
dt
dy
=2v
y
(y+1)
since the y component of velocity remains the same ,there is no acceleration along the y component,a
y
=0 a
x
=
dt
dv
x
=2v
y
(
dt
dy
)=2v
y
v
y
=2×5×5=50ms
−2
.
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