Question

An object initially at rest experiences an acceleration of 7.6 m/s^2. How much time will it take it to achieve a velocity of 52 m/s?

A) 6.8 seconds
B) 5.2 seconds
C) 3.4 seconds
D) 7.6 seconds

Answer 1

To calculate the time it takes for an object to achieve a certain velocity, we can use the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Substituting the given values into the equation, the time comes out to be approximately 6.842105 seconds.

Step-by-step explanation:

To calculate the time it takes for an object to achieve a certain velocity, we can use the equation:

v = u + at

Where:

• v is the final velocity (52 m/s)
• u is the initial velocity (0 m/s since the object is initially at rest)
• a is the acceleration (7.6 m/s^2)
• t is the time
  

Substituting the given values into the equation, we have:

52 = 0 + 7.6t

Simplifying the equation, we get:

t = 52 / 7.6

Calculating the division, the time comes out to be approximately 6.842105 seconds.

Therefore, the correct answer is option A) 6.8 seconds.