Answered

A boulder is shot from a Trebuchet (a very large slingshot) with a velocity of 25m/s. If it is fired at an angle of 30° to the vertical, what height will it reach?

Select one:

a.
24 m


b.
8.0 m


c.
not enough information given


d.
2.4 m



Answer :

Answer:

b. 8.0 m

Explanation:

For objects in free fall, or projectiles, we can use constant acceleration kinematic equations (also known as SUVAT) to solve for the displacement (s) using the initial velocity (u), final velocity (v), and acceleration (a) due to gravity.

Given in the vertical direction:

u = 25 sin 30 = 12.5 m/s

v = 0 m/s

a = -9.8 m/s²

Find: s

v² = u² + 2as

0² = 12.5² + 2 (-9.8) s

s = 8.0 m