Final answer:
The acceleration of an object that starts from rest and travels 720 meters in 3 seconds is calculated using the kinematic equation for uniformly accelerated motion. By substituting the values into the equation, we find that the acceleration is 160 m/s².
Step-by-step explanation:
To calculate the acceleration of an object that starts from rest and travels a certain distance in a given time, you can use the kinematic equation for uniformly accelerated motion, which is:
s = ut + ½at²
Where 's' is the displacement, 'u' is the initial velocity, 't' is the time, and 'a' is the acceleration. For an object starting from rest (u=0) and traveling 720 meters in 3 seconds, we have:
- s = 720 m
- u = 0 m/s (since it starts from rest)
- t = 3 s
By substituting the given values into the equation, we have:
720 = 0 × 3 + ½a × (3²)
720 = ½a × 9
720 = 4.5a
a = 720 / 4.5
a = 160 m/s²
Therefore, the required acceleration is 160 m/s².