Question

By throwing a ball at an angle 45 degrees a girl can throw the ball a maximum horizontal distance R on a level field How ar can se throw the same ball vertically upward assume that her muscles give the ball the same speed in each case. (Is this assumption valid?)

Answer 1

Step-by-step explanation:

Given

Initial launch angle
`\theta =45^(\circ)`

Suppose u is the initial launching velocity

Range of Projectile is given by

`R=(u^2\sin 2\theta )/(g)`

thus value of
`u^2=(Rg)/(\sin 2\theta )`

If this ball is thrown vertically upward with u

then maximum height reached is

`h=(u^2)/(2g)`

`h=((Rg)/(\sin 2\theta ))/(2g)`

`h=(R)/(2\sin 2\theta )`