Question

A projectile is fired from ground level with an initial speed of 400 m/sec and an angle of elevation of 30 degrees. Use that the acceleration due to gravity is 9.8 m/sec2.

a) The range of the projectile is _____ meters.
b) The maximum height of the projectile is _____ meters.
c) The speed with which the projectile hits the ground is _____ meters.

Answer 1

The projectile's range, maximum height, and speed on impact can be calculated using the equations of projectile motion, by considering the initial speed, angle of elevation, and the acceleration due to gravity.

Step-by-step explanation:

Projectile Motion Calculations

A projectile fired from ground level with an initial speed of 400 m/sec at an angle of elevation of 30 degrees can be analyzed using the equations of projectile motion. With a gravitational acceleration of 9.8 m/sec2, we can calculate the following:

1. Range: The horizontal distance traveled by the projectile until it hits the ground.
2. Maximum height: The highest vertical position the projectile reaches above the ground.
3. Speed on impact: The velocity of the projectile when it strikes back on the ground.

These components of projectile motion depend on both the initial speed and the angle of launch. In particular, the range and maximum height can be found using the components of the initial velocity in the horizontal and vertical directions. The speed on impact is determined by the conservation of energy or using the kinematic equations factoring in the initial speed and gravitational pull.