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

Answer:

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

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

☯ 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 ,

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

Substitute the values :

➵ $\sf{2.90 = \frac{23.6 - 0}{t}}$

➵ $\sf{2.90 = \frac{23.6}{t}}$

Apply cross product property

➵ $\sf{2.90 \: t \: = 23.6}$

Divide both sides by 2.90

➵ $\sf{ \frac{2.90 \: t}{2.90} = \frac{23.6}{2.90} }$

➵ $\sf{t = 8.13 \: seconds}$

Hope I helped!

Have a wonderful time シ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁