Question

Harry Potter is chasing his nemesis Draco Malfoy during a quidditch match. Initially, Harry is 35m behind Draco, who has just spotted the Golden Snitch hovering 75m away at the edge of the playing field. Draco Flies at a constant speed of 40 m/s straight towards the Golden Snitch. If Harry is originally flying at 50 m/s, what acceleration does he need to reach the Snitch 175 m ahead of Draco? How fast will Harry be moving when he passes Draco?

Answer 1

the acceleration of harry is equal to 66.126 m/s²

Step-by-step explanation:

given,

harry is 35 m behind Draco

speed of Draco = 40 m/s

original speed of harry = 50 m/s

acceleration = ?

time taken by the Draco

t =
`(r)/(u) =(75)/(40)`

t = 1.875 s

distance covered by Harry

d = 35 + 175 = 210 m

to calculate the acceleration of harry

`s = u t+ (1)/(2)at^2`

`210 = 50* 1.875+ (1)/(2)* a* 1.875^2`

a × 3.516 × 0.5 = 116.25

a = 66.126 m/s²

hence, the acceleration of harry is equal to 66.126 m/s²