3. Aina rides a smart personal transporter at the Botanical
The transporter accelerate uniformly from a velocity of 1ms
to a velocity 5ms in 0.5 minutes.calculate the displacement
of the transporter
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Given : The transporter accelerate uniformly from a velocity of 1m/s
to a velocity 5m/s in 0.5 minutes
To Find : the displacement of the transporter
Solution:
v= u + at
u = 1 m/s
v = 5 m/s
t = 0.5 minutes = 30 sec
=> 5 = 1 + a(30)
=> a = 4/30
=> a = 2/15 m/s²
v² - u² = 2aS
=> 5² - 1² = 2(2/15) S
=> 25 - 1 = 4S/15
=> 24 = 4S/15
=> 6 = S/15
=> S = 6 * 15
=> S = 90
Displacement = 90 m
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