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

Answer:

The given statement is:

TRUE.

( i.e. $h=\dfrac{v_0^2}{32}\times \sin 2\theta$ )

Step-by-step explanation:

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

$h=\dfrac{v_0^2}{16}\times \sin\theta \cos\theta$

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

$h=\dfrac{v_0^2}{16\times 2}\times 2\times \sin\theta \cos\theta$

We know that:

$2\sin\theta \cos\theta=\sin 2\theta$

Hence, we get:

$h=\dfrac{v_0^2}{32}\times \sin 2\theta$

Hence, the given statement is  TRUE statement.