A projectile is launched at ground level with an initial speed of 45.0 m/s at an angle of 30^o (30 degree) above the horizontal. It strikes a target above the ground 2.5 seconds later. What are the and distances from where the projectile was launched to where it lands

103.32 m

Explanation:

From the question, The distance from where the projectile was lunched to where its land is the range (R) of the projectile

R = (U²sin2 Ф) / g ... Equation 1

Where U = initial velocity of the projectile, Ф = angle above the horizontal, g = acceleration due to gravity.

Given: U = 45 m/s, Ф = 30°

Constant: g = 9.8 m/s²

Substitute these values into equation 1

R = (45²sin30°) / 9.8

R = 2025 (0.5) / 9.8

R = 103.32 m.