Question

What is the acceleration if an object which accelerates along a straight path from rest, and attains a velocity of 20 m/s after covering a distance of 50 m is 5 s​

Answer 1

Explanation:

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Answer 2

Given :

• Initial velocity, u = 0 m/s (starts from rest)
• Final velocity, v = 20 m/s
• Distance, s = 50 m
• Time taken, t = 5 seconds

To find :

• Acceleration, a

According to the question,

➞ v² = u² + 2as

Where,

• v = Final velocity
• u = Initial velocity
• a = Acceleration
• s = Distance

➞ Substituting the values,

➞ (20)² = (0)² + 2 × a × 50

➞ 400 = 0 + 100a

➞ 400 - 0 = 100a

➞ 400 = 100a

➞ 400 ÷ 100 = a

➞ 4 = a

• So, the acceleration of an object is 4 m/s².

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★ Acceleration :

Acceleration of a body can be defined as the rate of change of velocity per unit time.

• SI unit of acceleration is m/s².
• Acceleration is vector quantity.
• Formula : a = v - u/t