Two projectiles are launched from a cliff of height H = 16m as shown in the diag

Question

Two projectiles are launched from a cliff of height H = 16m as shown in the diagram below. Projectile 1 is launched with velocity v1 = 12 m/s at an angle q1, where q1 = 35 degrees. Projectile 2 is launched with velocity v2 = 12 m/s at an angle q2, where q2 = 50 degrees. The next two questions pertain to this physical situation.

6)  If the projectiles are lauched at the same time, which projectile lands first?

Projectile 1 lands first.

Projectile 2 lands first.

The projectiles land at the same time.

Here we have two vectors V and W. The angle between these vectors is A.

7)  What is the component of V parallel to W in terms of A and the magnitudes of V and W?

V

W

V sin(A)

V cos(A)

W sin(A)

W cos(A)

8)  What is the component of V perpendicular to W in terms of A and the magnitudes of V and W?

V

W

V sin(A)

V cos(A)

W sin(A)

W cos(A)

Explanation / Answer

6) Projectile 1 lands first. (beacuse first projectile has less initial vertical component of velocity)

7) V cos(A)

8) V sin(A)

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