A car moves on a circular path such that its speed is given by v=4t
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Hello Dear,
◆ Complete question would be -
Q. A car moves in a circular path such that its speed is given by v = 4t where t is the time. If the radius of the circular path is 2 m, the acceleration of the car at t = 2 s is ___.
◆ Answer -
a = 32 m/s^2
◆ Explanation -
# Given -
v = 4t
r = 2 m
t = 2 s
# Solution -
Speed of car at t = 2 s is -
v = 4t
v = 4 × 2
v = 8 m/s
Centripetal acceleration at t=2s is calculated as -
a = v^2 / r
a = 8^2 / 2
a = 32 m/s^2
Hence, the acceleration of the car at t = 2 s is 32 m/s^2.
Hope this helped you..
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