Question

a body starting from rest travels with uniform acceleration .if it travels 100m in 5s,what is the value of acceleration

Answer 1

atttachment has the solution

Answer 2

✬ Acceleration = 8 m/s² ✬

Explanation:

Given:

• A body starts from rest (u) = 0
• Body travels 100 m with uniform acceleration (s) = 100 m
• Times taken by body (t) = 5 seconds

To Find:

• What is the acceleration (a) of the body ?

Formula to be used:

• Newton's second law of motion
• ➯ S = ut + 1/2at²

Solution: Putting the values on formula we get

$\implies{\rm }$ 100 = 0 $\times$ 5 + 1/2 $\times$ a $\times$ (5)²

$\implies{\rm }$ 100 = 0 + a/2 $\times$ 25

$\implies{\rm }$ 100 = 25a/2

$\implies{\rm }$ 100 $\times$ 2 = 25a

$\implies{\rm }$ 200/25 = a

$\implies{\rm }$ 8 m/s²

Hence, The acceleration of the body is 8 m/s².

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★ Important terms ★

➟ First law of motion = v = u + at

➟ Third law of motion = v² – u² = 2as

➟ Acceleration is the rate of change of velocity of an object with respect to time.

➟ Initial Velocity (u) is the beginning or starting point of motion.

➟ Final Velocity (v) is the last velocity of an object after a fixed time.