Question

. A projectile is fired form ground level with velocity 400 m/s at 30° to the horizontal i norin
the resistance of air to the motion of the projectile in order to achieve the same horizontal
range, what is the least speed with which it should be projected?​

Answer 1

Answer:

the least speed with which it should be projected is 372.2 m/s

Explanation:

Range of the projectile at 30 degree angle of projection is given as

$R = \frac{v^2 sin2\theta}{g}$

now we know that

$\theta = 30 degree$

v = 400 m/s

so in order to obtain same range with least possible speed the angle of projection must be 45 degree

so we have

$\frac{v^2 sin(2 \times 45)}{g} = \frac{400^2 sin(2\times 30)}{g}$

now we have

$v^2 = 400^2 sin60$

$v = 372.2 m/s$

#Learn

Topic : Projectile motion

https://brainly.in/question/11125144