Question

An automobile accelerates at 6 m/s2. How much time is required for the

automobile to reach a speed of 30 m/s
A) 0.17 s
B) 5 s
C) 6 s
D) 150 s

Answer 1

The time required for an automobile to accelerate from rest to a speed of 30 m/s with a constant acceleration of 6 m/s² is 5 seconds.

Step-by-step explanation:

The question involves calculating the time it takes for an automobile to reach a certain speed from rest given a constant acceleration, which is a physics problem related to kinematics.

To find the time required for the automobile to reach a velocity of 30 m/s with a constant acceleration of 6 m/s², we can use the kinematic equation:

v = u + at

Where:

• v is the final velocity (30 m/s)
• u is the initial velocity (0 m/s, since the automobile starts from rest)
• a is the acceleration (6 m/s²)
• t is the time we need to calculate.

Plugging the values into the equation:

30 m/s = 0 m/s + (6 m/s² × t)

Solving for t:

t = (30 m/s) / (6 m/s²) = 5 s

Therefore, the required time is 5 seconds.