Final answer:
The speed of a self-driving car accelerating from rest at 5 m/s^2 is 5 m/s after 1 second, 15 m/s after 3 seconds, and 25 m/s after 5 seconds.
Step-by-step explanation:
The question pertains to calculating the speed of a self-driving car that is accelerating from rest under constant acceleration. To find the speed of the car after different time intervals, we can use the formula v = u + at, where v is the final velocity, u is the initial velocity (which is 0 m/s since the car starts from rest), a is the acceleration (5 m/s2 in this case), and t is the time.
- After 1 second: v = 0 m/s + (5 m/s2 × 1 s) = 5 m/s.
- After 3 seconds: v = 0 m/s + (5 m/s2 × 3 s) = 15 m/s.
- After 5 seconds: v = 0 m/s + (5 m/s2 × 5 s) = 25 m/s.
Hence, the speed of the car after 1 second is 5 m/s, after 3 seconds is 15 m/s, and after 5 seconds is 25 m/s.
The speed of a self-driving car after a given time can be calculated using the formula:
speed = initial velocity + (acceleration * time)
In this case, the car starts from rest (initial velocity = 0), and the acceleration is given as 5 m/s². So, we can substitute these values into the formula to find the speed after 1 second, 3 seconds, and 5 seconds.
After 1 second: speed = 0 + (5 * 1) = 5 m/s
After 3 seconds: speed = 0 + (5 * 3) = 15 m/s
After 5 seconds: speed = 0 + (5 * 5) = 25 m/s