A body starts moving with a velocity of u ms^-1 and a acclereation of 4 m s ^-2. If the distance travelled by it is 20 m in 2 seconds, then the value of u is
a) 41 ms^-1
b) 14ms^-2
c)5ms^-1
d)10ms^-1
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Answer:
Initial velocity is 6 m/s
Step-by-step explanation:
Given,
◉ Acceleration of the body, a = 4 m/s²
◉ Distance travelled by the body, s = 20 m/s
◉ Time taken by the body, t = 2 seconds
To Find,
◉ Initial velocity, u = ?
Formula to be used,
◉ 2nd equation of motion,
◉ s= ut + ½ × at²
Solution,
Putting all the values, we get
s= ut + ½ × at²
=> 20 = u × 2 + ½ × 4 (2)²
=> 20 = 2u + 2 × 8
=> 20 = 2u + 8
=> 20 - 8 = 2u
=> 12 = 2u
=> 12/2 = 2
=> u = 6 m/s
Hence. the initial velocity is 6 m/s.
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