I don\'t understand how to start this even. can you help me please? 2. (30 pts)

Question

I don't understand how to start this even. can you help me please?

2. (30 pts) A daredevil, not-at-all zombie bandiooot has set up a stunt which involves jumping several crates in his specially modified crash car. In order to sccomplish this incredible fat of daring do, he drives the car up a ramp which peopels him skyward with sn initial velocity of 70.0 m/s at an initial angle of 35.0" with respect to horizontal. He is at an elevation of 5.00 above the ground when he leaves the ramp. Personally hsting daredevile, you set up a remotely launched antibandiooot mlssile at a location directly below the position where the bandicoot reaches maximum height in his stunt, Your missile starts from rest and baa a acceleration of At what time, At, before the bandicoot reaches maximum height should you remotely fire your missile?

Explanation / Answer

consider the motion of projectile in vertical direction :

Voy = initial velocity = 70 Sin35

a = acceleration = - 9.8

t = time taken to reach maximum height

Ymax = maximum height gained

Yo = initial Position = 5 m

Vfy = velocity at highest point = 0

using the equation

Vfy = Voy + a t

0 = 70 Sin35 - 9.8 t

t = 4.1 sec

using the equation

Ymax = Yo + Voy t + (0.5)a t2

Ymax = 5 + (70 Sin35) (4.1) + (0.5) (-9.8) (4.1)2

Ymax = 87.25 m

t' = time taken for the missile to reach the maximum height

Vo = initial velocity = 0

a = acceleration = 28.5

using the equation

Ymax = Vo t + (0.5) a t2

87.25 = 0 t + (0.5) (28.5) t2

t = 2.5 sec

the missile should be fired 2.5 sec before

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