A motor bike is running at 6 m/s, picks up a velocity of 54 m/s in 6 seconds. Find the
acceleration of the bike.
Answers
Answer:
The acceleration of the bike is 8 m/s²
Explanation:
Given :
A motor bike is running at 6 m/s, picks up a velocity of 54 m/s in 6 seconds.
To find :
the acceleration of the bike
Solution :
The acceleration is the rate of change of velocity.
It is given by,
a = (v - u)/t
where
v denotes the final velocity
u denotes the initial velocity
t denotes the time taken
Here,
initial velocity, u = 6 m/s
final velocity, v = 54 m/s
time taken, t = 6 seconds
Substituting the values,
a = (54 - 6)/6
a = 48/6
a = 8 m/s²
∴ The acceleration of the bike is 8 m/s²
8 m/s²
Given:
u = 6m/s
v = 54m/s
t = 6s
To find: a = ?
By using the equation of uniformly accelerated motion:
v = u + at
By substituting the given values,
54 = 6 + a(6)
a(6) = 54 - 6
a = 48/6
∴ a = 8 m/s²
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