Complete Question
An airplane takes off a runway at a constant speed of 49 m/s at constant angle 30 to the horizontal.How high (in meters ) is the airplane above the ground 13 seconds after takeoff?
Answer:
The height is
![H = 318.5 \ m](https://img.qammunity.org/2021/formulas/physics/college/gno4zaup4eccv7hflpt7uv194ck4t70k70.png)
Step-by-step explanation:
From the question we are told that
The speed at which the plane takes off is
![u = 49 \ m/s](https://img.qammunity.org/2021/formulas/physics/college/r3twjq4319s16zbc0h43p6xrlsdyn34rgf.png)
The angle at which it takes off is
![\theta = 30 ^o](https://img.qammunity.org/2021/formulas/physics/high-school/41unhkde13zf2smo6unfnsxawnruh2wu94.png)
The time taken is
![t = 13 s](https://img.qammunity.org/2021/formulas/physics/college/oij8f3dx4hi90oucd0bqpgxxvzwcp1i0jy.png)
The vertical distance traveled is mathematically represented as
![H = u sin \theta t](https://img.qammunity.org/2021/formulas/physics/college/yh37nu804z3czabbw83karnyfhfgzt4ngr.png)
Substituting values
![H = (49) * sin (30) *13](https://img.qammunity.org/2021/formulas/physics/college/1yshbctphucpz5zwm1460ojovqx5crqw2n.png)
![H = 318.5 \ m](https://img.qammunity.org/2021/formulas/physics/college/gno4zaup4eccv7hflpt7uv194ck4t70k70.png)