Question

Base your answers to questions 27 through 29 on the information and diagram below. A projectile is launched into the air with an initial speed of vi at a launch angle of 30° above the horizontal. The projectile lands on the ground 2.0 seconds later

Answer 1

The initial velocity of the projectile is determined as 19.6 m/s.

How to calculate the initial velocity of the projectile?

The initial velocity of the projectile is calculated by applying the following formula as shown below;

The formula for time of flight;

T = (2vi sinθ ) / g

where;

• vi is the initial velocity of the projectile
• θ is the angle of projection
• g is acceleration due to gravity

The given parameters include;

Time of flight, T = 2 s

angle of projection = 30°

acceleration due to gravity = 9.8 m/s²

The initial velocity of the projectile is calculated as follows;

2vi sinθ = Tg

vi = (Tg) / (2 sinθ)

vi = ( 2 x 9.8 ) / ( 2 x sin 30)

vi = 19.6 m/s

The complete question is below:

A projectile is launched into the air with an initial speed of vi at a launch angle of 30° above the horizontal. The projectile lands on the ground 2.0 seconds later. Find the initial velocity of the projectile.