Question

A car is initially travelling at a velocity of 5.6 m/s [E]. If the car's acceleration is 1.1

m/s2 [E], how long will it take the car to reach a velocity of 10.9 m/s [E]?

Answer 1

It will take approximately 4.82 seconds for the car, which is accelerating at 1.1 m/s² [E], to increase its velocity from 5.6 m/s [E] to 10.9 m/s [E].

Step-by-step explanation:

To calculate how long it will take for a car to reach a certain velocity given its initial velocity and acceleration, we can use the kinematic equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. In this case, the final velocity (v) is 10.9 m/s [E], the initial velocity (u) is 5.6 m/s [E], and the acceleration (a) is 1.1 m/s2 [E]. Solving for time:

Step 1: v = u + at

Step 2: t = (v - u) / a

Step 3: t = (10.9 m/s - 5.6 m/s) / 1.1 m/s2

Step 4: t = 5.3 m/s / 1.1 m/s2

Step 5: t ≈ 4.82 s

So, it will take approximately 4.82 seconds for the car to reach the velocity of 10.9 m/s [E].