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Answer :
Final answer:
Acceleration is the rate of change of velocity with respect to time. Given an increase in velocity from 0 to 20 m/s in 10 seconds, the average acceleration would be 2 m/s². Understanding acceleration as a vector helps explain both its magnitude and direction.
Explanation:
The object's acceleration is a topic of physics related to kinematics, which is the study of motion without considering its causes. To find an object's acceleration when its velocity increases from 0 to 20 m/s in 10 s, you use the formula for average acceleration which is:
a = (Δv) / (Δt)
Where:
- a is the acceleration
- Δv is the change in velocity
- Δt is the time over which the change occurs
In this case, Δv = 20 m/s and Δt = 10 s, therefore:
a = (20 m/s) / (10 s) = 2 m/s².
This implies that every second, the velocity increases by 2 m/s, which corresponds to option b in question 18. When the acceleration has a negative value, it signifies either a decrease in velocity or acceleration in a direction opposite to the positive axis. An example of this is gravitational acceleration during projectile motion, which has a typical value of -9.8 m/s² for the y-component. This helps in understanding acceleration as a vector quantity that has both magnitude and direction.
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