Did you know?
Did you know that the range and flight time of a shell launched from the ground can be calculated using simple physics equations? By knowing the initial speed and angle of the shell, as well as the acceleration due to gravity, we can calculate these values.
a) The horizontal range of the shell can be found by using the formula: Range = (initial speed^2 * sin(2 * angle)) / gravity acceleration. In this case, the initial speed is 1.70 × 10^3 m/s and the angle is 70.0°. Plugging these values into the formula, we can find the horizontal range in meters.
b) The time the shell is in motion can be determined using the formula: Time = (2 * initial speed * sin(angle)) / gravity acceleration. By substituting the given values, we can find the amount of time the shell is in motion in seconds.
These calculations can help us understand the trajectory and flight characteristics of projectiles, and are fundamental in the study of physics and ballistics.
