Solving Missile Motion Problems: Answers & Explanations

[malay ko]

Homework Statement

A missile is fired with an initial velocity of 85 m/s at an angle of 30 degrees from the horizontal.

A) After how many seconds will the missile reach the highest point?
B) What is the maximum height reached by the missile?
C) Calculate the total horizontal distance traveled by the missile until it hits the ground.

Homework Equations

teta = arc tangent Voy/Vox

Vfx = Vocoy teta t

tf = -2 Voy sin teta / g

The Attempt at a Solution

A) tf = -2 Voy sin teta / g
= -2 (85m/s) (sin 30) / 9.81m/s^2
= -85m/s / 9.81m/s^2
= -8.66 s

B and C i don't know which formula to use

 

[Doc Al]

tf = -2 Voy sin teta / g

The Attempt at a Solution

A) tf = -2 Voy sin teta / g
= -2 (85m/s) (sin 30) / 9.81m/s^2
= -85m/s / 9.81m/s^2
= -8.66 s

Apply the following formula to the vertical motion:
$$v = v_0 + a t$$

B and C i don't know which formula to use

Some useful kinematic formulas are summarized here: https://www.physicsforums.com/showpost.php?p=905663&postcount=2"