Saturday

August 2, 2014

August 2, 2014

Posted by **dani** on Sunday, January 4, 2009 at 8:56pm.

B probably goes higher and farther than A, but I don't know how to find the excact ratio.

- Physics -
**drwls**, Sunday, January 4, 2009 at 9:06pmFirst of all, A goes farther and higher than B. That must be what you meant to say.

Since the launch angles are the same, projectile A has twice the vertical component of initial velocity of projectile B. The maximum height attained is proprtional to the square of this velocity component and is therefore four times as high for projectile A.

The range of a projectile launched with velocity V and angle A with respect to the horizontal is

2 (V^2/g) sin A cos A = (V^2/g) sin (2A)

(See if you can derive that)

Since A is the same, the range is also four times farther when V is doubled.

**Related Questions**

Physics - Two projectiles are launched from ground level at the same angle above...

physics - A projectile is being launched from ground level with no air ...

Physics- i need to know how to do these problems - Two projectiles are launched ...

physics - three more questions: 1) A 1.50kg projectile is launched at 18.0m/s ...

physics - A projectile is launched from ground level at 37.0 m/s at an angle of ...

Physics - In the absence of air resistance, a projectile is launched from and ...

Physics - In the absence of air resistance, a projectile is launched from and ...

physics - The range R of a projectile is defined as the magnitude of the ...

physics - A projectile is launched from ground level at 37.0 m/s at an angle of ...

Physics - The range R of a projectile is defined as the magnitude of the ...