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

Answer:

t = 5 s

Explanation:

Data:

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

Use formula:

• $\boxed{t=\frac{Vf - Vo}{a}}$

Replace:

• $\boxed{t=\frac{22\frac{m}{s} -7\frac{m}{s}}{3\frac{m}{s^{2}}}}$

Solve the subtraction of the numerator:

• $\boxed{t=\frac{15\frac{m}{s}}{3\frac{m}{s^{2}}}}$

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.