Question

An object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3.0 m/s^2 before its final velocity is equal 30 m/s?​

Answer 1

To find the time required for an object to accelerate to a final velocity, we can use the formula t = (v - u) / a, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time required. Plugging in the given values, we find that the object must accelerate for 5 seconds.

Step-by-step explanation:

To find the time required for an object to accelerate to a final velocity, we can use the equation:

v = u + at

Where:
v = final velocity = 30 m/s
u = initial velocity = 15 m/s
a = acceleration = 3.0 m/s^2
t = time

Rearranging the equation to solve for time:

t = (v - u) / a

Plugging in the values:

t = (30 - 15) / 3.0

Simplifying, we find:

t = 5 seconds

Therefore, the object must accelerate for 5 seconds before reaching a final velocity of 30 m/s.