Question

4. Neglecting air resistance, which of the following trajectory angles (measured from the horizon) will result in the greatest horizontal distance traveled by a projectile? a. 10 degrees b. 40 degrees c. 70 degrees d. 90 degrees

Answer 1

b. 40 degrees

Step-by-step explanation:

Range = (U²Sin2tita)/g

Let's assume a constant velocity of 1 m/s and acceleration of 10 m/s² and try the following angles.

For 10 degree

Range= (sin20)/10

Range = 0.034m

For 40 degrees

Range= sin80/10

Range = 0.098m

For 70 degrees

Range = sin140/10

Range = 0.064

For 90 degrees

Range = sin180/10

Range = 0

Comparing the above result, we can see the degree with the highest range is degree 40.