Question

A car accelerates at 2.90 m/s2. Assuming the car starts from rest, how much time does it need to accelerate to a speed of 23.6m/s?

Answer 1

`\huge{ \boxed{ \bold{ \sf{8.13 \: seconds}}}}`

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☯ Question

• A car accelerates at 2.90 m/s . Assuming the car starts from rest , how much time does it need to accelerate to a speed of 23.6 m/s ?

☯
`\underbrace{ \sf{Required \: Answer : }}`

✒ Given :

• Initial velocity ( u ) = 0
• Final velocity ( v ) = 23.6 m/s
• Acceleration ( a ) = 2.90 m/s²

✒ To find :

• Time ( t )

✎ We know ,

`\boxed{ \underline{ \sf{acceleration \: (a) \: = (final \: velocity \: (v) - initial \: velocity \: (u ))/(time \: ( \: t \: ))}}}`

Substitute the values :

➵
`\sf{2.90 = (23.6 - 0)/(t)}`

➵
`\sf{2.90 = (23.6)/(t)}`

Apply cross product property

➵
`\sf{2.90 \: t \: = 23.6}`

Divide both sides by 2.90

➵
`\sf{ (2.90 \: t)/(2.90) = (23.6)/(2.90) }`

➵
`\sf{t = 8.13 \: seconds}`

Hope I helped!

Have a wonderful time シ

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