Acceleration and Distance Traveled by a Drone

What is the acceleration of the drone?

How far will the drone go?

Answer:

(i) 100 m/s²

(ii) 450 m

From the question, the drone accelerates from rest to a speed of 300 m/s in 3 seconds. We need to find out the acceleration of the drone and how far it will go.

Acceleration Calculation:

Using the formula a = (v-u)/t:

Where a = acceleration, v = final velocity, u = initial velocity, and t = time.

Given: v = 300 m/s, u = 0 m/s (from rest), t = 3 s

Substitute these values into the formula:

a = (300-0)/3

a = 100 m/s²

Therefore, the acceleration of the drone is 100 m/s².

Distance Calculation:

Using the formula s = ut + (1/2)at²:

Substitute the values into the formula:

s = 0(3) + 100(3²)/2

s = 50×9

s = 450 m

Thus, the drone will travel a distance of 450 meters.