Question

A body starting from rest is moving with uniform acceleration. If it attains a velocity of 72 km/hr in 10 seconds then the acceleration of the body will be ____ m/s2


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Answer 1

Given,

• Initial velocity (u) = 0 m/s
• Final velocity (v) = 72 km/h ⇒72 × 5/18 ⇒4 × 5 ⇒20 m/s
• Time (t) = 10 s

To Find,

• The acceleration of the body.

According to question,

Applying newton's 1st equation of motion,

v = u + at

Here,

• v = Final velocity
• u = Initial velocity
• a = Acceleration
• t = Time

Units,

• v = m/s
• u = m/s
• a = m/s²
• t = s

[ Put the values ]

⇒ 20 = 0 + a × 10

⇒ 20 = 10a

⇒ a = 20/10

⇒ a = 2 m/s²

Therefore,

The acceleration of the body is 2 m/s².