I need full solution A projectile is fired from the ground level with a velocity
of 500 ms-1 at 30° to horizon. What is the least speed with which it could be projected in order to
achieve the same horizontal range ? [g = 10m/s2]

divide the right side by the left side

0.024÷1.2=0.02 for example

none, its a machine

the aurora is formed when charged particles emitted from the sun during a solar flare penetrate the earth's magnetic shield and collide with atoms and molecules in our atmosphere. these collisions result in countless little bursts of light, called photons, which make up the aurora.

auroras are generated by charged solar particles hitting molecules in earth's atmosphere. this usually happens in high latitudes, because our planet’s magnetic field tends to funnel these particles toward the poles. that’s why it can be experienced in northern ohio.