Answer:
As per Given Information
Angle on which the stone thrown ,theta = 45°
Velocity ,u = 10m/s
Acceleration due to gravity ,g is 10m/s²
We have to find the "Range of Projectile "
Range of projectile is denoted by R .
Using Formulae
![\\ \bigstar{\boxed{\pink{\bf{R = \frac{ {u}^(2)sin2 \theta }{g} }}}} \\ \\](https://img.qammunity.org/2023/formulas/physics/high-school/4dw7zypc8p5thb6jvc9yk3lt4z3ow3i0jp.png)
On putting the value we get
![\sf\dashrightarrow \: R\: = \frac{ {10}^(2) * sin(2 * 45) }{10} \\ \\ \sf\dashrightarrow \: R = \frac{100 * sin90 {}^( \circ) } {10} \\ \\ \sf\dashrightarrow \: R \: = (100 * 1)/(10) \\ \\ \sf\dashrightarrow \: R \: = (100)/(10) \\ \\ \sf\dashrightarrow \: R = \cancel (100)/(10) \\ \\ \sf\dashrightarrow \: R = 10m](https://img.qammunity.org/2023/formulas/physics/high-school/y195j63h0h81qf6wf2l1iep0q5de1ziqk0.png)
So, the range of projectile is 10m.