Question

if an object moving with a speed of 10m/s and acceleration a gains a speed of v in 2 sec and gains a speed 2v in 3 sec find a and v and distance covered in 4 sec​

Answer 1

Answer:

the answer is 160m\s as it gains some acceleration

Explanation:

Answer 2

Solution:-

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$\implies$ Here, it is given in the question that an object is moving with a speed of 10 m/s and acceleration gains a speed of v in 2 sec and gains a speed 2v in 3 sec. Now the question has asked us to find out a, v and distance covered in 4 seconds. Follow the steps below to get the answer.

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GIVEN:-

• Speed = 10 m/s

TO FIND:-

• a = ?
• v = ?
• distance = ?

SOLUTION:-

• Let the initial speed be 10 m/s.

We know that:-

$\large \green \circledcirc \: {\overline{\boxed{ \tt{\pink{a = \dfrac{v - u}{t}}}}}}$

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CASE 1:-

• Time = 2 sec
• Final velocity = v
• Acceleration = a

Solving:-

➤ a = v-10 / 2 (a = v-u / t)

➤ $\boxed{2a = v-10}$ — ❶

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CASE 2:-

• Time = 3 sec
• Initial velocity = v
• Final velocity = 2v
• Acceleration = a

Solving:-

➤ a = 2v-v / 3

➤ a = v/3

➤ v = $\boxed{3a}$ — ❷

Putting ❷ in ❶ :-

➤ 2a = 3a - 10

➤ a = 10 m/sec

➤ v = 30 m/sec

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