To calculate the maximum possible speed of the drone when the motor was switched back on, we can use the concept of kinetic energy. The formula for kinetic energy K E is given by:
K E = 2 1 m v 2
Where:
K E is the kinetic energy, which is given as 150 J (joules).
m is the mass of the drone, which is 2.5 kg (kilograms).
v is the speed of the drone, which we are trying to find.
To find the speed v , we can rearrange the formula to solve for v :
v = m 2 ⋅ K E
Substitute the given values into the equation:
v = 2.5 2 × 150
This simplifies to:
v = 2.5 300
v = 120
v ≈ 10.95 m/s
Therefore, the maximum possible speed of the drone when the motor was switched back on is approximately 10.95 meters per second . This calculation assumes that all of the kinetic energy is used to accelerate the drone and that there are no other forces such as air resistance acting on it.
The maximum possible speed of the drone, calculated using its kinetic energy, is approximately 10.95 meters per second. This is based on the formula for kinetic energy and the values provided for mass and energy. The calculation assumes ideal conditions without external forces.
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