Answer:
[tex] \huge{ \boxed{ \bold{ \sf{8.13 \: seconds}}}}[/tex]
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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 ?
☯[tex] \underbrace{ \sf{Required \: Answer : }}[/tex]
✒ Given :
- Initial velocity ( u ) = 0
- Final velocity ( v ) = 23.6 m/s
- Acceleration ( a ) = 2.90 m/s²
✒ To find :
✎ We know ,
[tex] \boxed{ \underline{ \sf{acceleration \: (a) \: = \frac{final \: velocity \: (v) - initial \: velocity \: (u )}{time \: ( \: t \: )}}}}[/tex]
Substitute the values :
➵ [tex] \sf{2.90 = \frac{23.6 - 0}{t}} [/tex]
➵ [tex] \sf{2.90 = \frac{23.6}{t}} [/tex]
Apply cross product property
➵ [tex] \sf{2.90 \: t \: = 23.6}[/tex]
Divide both sides by 2.90
➵ [tex] \sf{ \frac{2.90 \: t}{2.90} = \frac{23.6}{2.90} }[/tex]
➵ [tex] \sf{t = 8.13 \: seconds}[/tex]
Hope I helped!
Have a wonderful time シ
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