Thursday

July 31, 2014

July 31, 2014

Posted by **Derek** on Thursday, September 22, 2011 at 9:39pm.

A. )What is θ₂?

B.) At what time and point in space do they collide?

C.) Find velocity components of each just before impact.

- Physics -
**Noone**, Friday, September 23, 2011 at 2:55amt=3

- Physics -
**tchrwill**, Friday, September 23, 2011 at 2:35pmThe projectile fired from the origin impacts 883.67m downrange after reaching a height of 127.55m.

The second projectile will collide with the first projectile before it reaches its maximum height if the second projectile's launch angle was selected to result in equal maximum heights.

Without another boundary condition, there are a multitude of launch angles for the second projectile that will result in an intercept of the first.

Might there be another piece of information that would open the solution window.

- Physics -
**tchrwill**, Saturday, September 24, 2011 at 12:37pmFor instance:

Assume that the second projectile is launched such that it has the same maximum altitude as the first.

We make use of the two equations for height and distance of projectiles:

h = Vo^2(sin(a)^2)/2g and

d = Vo^2(sin(2b))/g

where

h = the maximum height reached meters

d = the horizontal distance traveled - m

Vo = the initial launch velocity meters/sec.

a and b = the angle of the velocity vectors to the horizontal

g = the acceleration due to gravity - 9.8m/sec.^2

Given:

Projectile 1 Projectile 2

Vo = 100m/s ... 80m/s

a = 30 deg

b = .. .....TBD

g = 9.8m/sec.^2 9.8

100^2(sin30)^2/2(9.8 = 80^2(siny)^2/2(9.8 or y = 38.682 deg.

d1 = 100^2(sin60)/9.8 = 883.67m

d2 = 80^2(sin77.364)/9.8 = 637.24m

Time of intercept

100(cos30)t = 60 + 80(cos938.682)t or t = 2.48 sec.

Point of intercept

x = 100(.866)2.48 = 214.76m

y = 50(2.48) 4.9(2.48)^2 = 93.86m.

Ill let you figure out the velocity info.

Note that if the maximum height of the second projectile was allowed to be any quantity, several answers are possible.

**Related Questions**

Discrete Math - Solve the recurrence relation a_n = -2a_n-1 + 15a_n-2, n ≥...

Physics - A projectile is fired with an initial velocity of v0 feet per second...

physics - A projectile is fired from the origin (at y = 0 m) as shown in the ...

Discrete Math - Solve the recurrence relation a_n = -6a_n - 1 + 7a_n-2, n ≥...

Math - A projectile is fired with an initial velocity of v0 feet per second. The...

physics - A projectile is fired with an initial velocity of 88 ft/sec at an ...

precalculus - If a projectile is fired with velocity v0 at an angle θ, then...

chemistry - how to solve for a 28.4 L sample of methane gas is heated from 35.0...

physic - A projectile is fired from the origin (at y = 0s m) a shown in the ...

Physics - A projectile is fired at an angle of 60degree with the horizontal and ...