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

Answer:

the acceleration of harry is equal to 66.126 m/s²

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 =$\dfrac{r}{u} =\dfrac{75}{40}$

     t = 1.875 s

distance covered by Harry

  d = 35 + 175 = 210 m

to calculate the acceleration of harry

$s = u t+ \dfrac{1}{2}at^2$

$210 = 50\times 1.875+ \dfrac{1}{2}\times a\times 1.875^2$

a × 3.516 × 0.5 = 116.25

a = 66.126 m/s²

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