Question

TRUE or FALSE The horizontal distance, in feet, traveled by a projectile can be modeled by the equation.. h = ((v0^2)/16) sinθcosθ ..where θ is the initial angle and v0 is the initial velocity. This simplifies to h = ((v0^2)/32) sin(2θ) .

Answer 1

the answer is TRUE hope this helped

Answer 2

The given statement is:

TRUE.

( i.e.
`h=(v_0^2)/(32)* \sin 2\theta` )

Explanation:

We are given the horizontal distance, in feet, traveled by a projectile can be modeled by the equation.

`h=(v_0^2)/(16)* \sin\theta \cos\theta`

now we multiply and divide by 2 (i.e. the same quantity is multiplied in the numerator and the denominator) to get:

`h=(v_0^2)/(16* 2)* 2* \sin\theta \cos\theta`

We know that:

`2\sin\theta \cos\theta=\sin 2\theta`

Hence, we get:

`h=(v_0^2)/(32)* \sin 2\theta`

Hence, the given statement is TRUE statement.