Question

If two stones projected from the same point with same initial speed but an angle pie/3and pie/6

Answer 1

Answer:

Range Remains same

time of flight  become √3 times

& height become 3 time when π/3 compared to π/6

Explanation:

If two stones projected from the same point with same initial speed but an angle pie/3and pie/6

π/3 = 60°   & π/6 = 30°

Initial Velocity = V

π/3 = 60°

Vertical Velocity = Vsin60 = V√3/2

Horizontal Velocity = VCos60 = V/2

Time to reach Peak = V√3/2g

Time of flight = 2 *  V√3/2g = V√3/g

Max Height = (V√3/2)²/2g  = 3V²/8g

Range = (V/2) * V√3/g = V²√3/2g

π/6 = 30°

Vertical Velocity = Vsin30 = V/2

Horizontal Velocity = VCos60 = V√3/2

Time to reach Peak = V/2g

Time of flight = 2 *  V/2g = V/g

Max Height = (V/2)²/2g  = V²/8g

Range = (V√3/2) * V/g = V²√3/2g

Range Remains same

time of flight  become √3 times

& height become 3 time when π/3 compared to π/6