Question

Using the equations (1) derived in ex. 5, section 12.5 handout, and assuming that the projectile is fired from the origin at an angle with initial velocity:

a) What is the maxiμm height (m) attained by the projectile?

b) Find the range (horizontal distance, r) of the projectile.

Answer 1

To find the maximum height and range of a projectile fired from the origin at an angle with an initial velocity, we can use the given equations and calculate the time it spends in the air for the maximum height and find the range by considering the horizontal and vertical velocities.

Step-by-step explanation:

From the given equations and assuming that the projectile is fired from the origin at an angle with an initial velocity, we can find the maximum height and range of the projectile.

a) Maximum Height: To find the maximum height, we need to consider the vertical motion of the projectile. Using the equations provided in exercise 5, section 12.5, we can calculate the time the projectile spends in the air and use that to find the maximum height it reaches.

b) Range: The range of the projectile can also be calculated using the equations provided. The range is the horizontal distance traveled by the projectile. By finding the horizontal and vertical velocities and combining them, we can calculate the total velocity and the angle it makes with the horizontal. Using this information, we can determine the range of the projectile.