Answer :
Final answer:
To determine the acceleration Harry needs in order to reach the Snitch 0.800 meters ahead of Draco, we can use the equation of motion. The acceleration required for Harry to reach the Snitch is approximately 4.90 m/s^2.
Explanation:
To determine the acceleration Harry needs in order to reach the Snitch 0.800 meters ahead of Draco, we can use the equation of motion:
d = ut + (1/2)at^2
where d is the distance, u is the initial velocity, t is the time, and a is the acceleration.
Since Harry is 33.0 meters behind Draco and the Snitch is 25.0 meters in front of Draco, the distance Harry needs to cover is
33.0 + 25.0 + 0.800 = 58.8 meters.
Using Harry's initial velocity of 40.0 m/s and plugging in the values, we can solve for the acceleration:
58.8 = 40.0t + (1/2)at^2
The acceleration required for Harry to reach the Snitch is approximately 4.90 m/s^2.