Question

A car initially traveling 7 m/s speeds up uniformly at a rate of 3 m/s2 until it reaches a velocity of 22 m/s. How much time did it take the car to reach this final velocity?

Answer 1

t = 5 s

Step-by-step explanation:

Data:

• Initial Velocity (Vo) = 7 m/s
• Acceleration (a) = 3 m/s²
• Final Velocity (Vf) = 22 m/s
• Time (t) = ?

Use formula:

• 
  `\boxed{t=(Vf - Vo)/(a)}`

Replace:

• 
  `\boxed{t=(22(m)/(s) -7(m)/(s))/(3(m)/(s^(2)))}`

Solve the subtraction of the numerator:

• 
  `\boxed{t=(15(m)/(s))/(3(m)/(s^(2)))}`

It divides:

• 
  `\boxed{t=5\ s}`

How much time did it take the car to reach this final velocity?

It took a time of 5 seconds.