Final answer:
The acceleration of a body increasing its velocity from 10 m/s to 15 m/s in 5 seconds is calculated using the change in velocity divided by the time taken, resulting in an acceleration of 1 m/s².
Step-by-step explanation:
To calculate the acceleration of a moving body whose velocity increases from 10 m/s to 15 m/s in 5 seconds, we use the formula for acceleration, which is the change in velocity divided by the time taken for the change. Acceleration (a) is given by:
a = ∆v / ∆t
Where:
- ∆v is the change in velocity (∆v = final velocity - initial velocity)
- ∆t is the change in time (∆t = final time - initial time)
Plugging in the values, we get:
a = (15 m/s - 10 m/s) / 5 s
a = 5 m/s / 5 s
a = 1 m/s²
The acceleration of the body is 1 m/s².