Answer:
7.81 m/s
Step-by-step explanation:
Given,
initial speed, u = 10.2 m/s
angle of inclination, θ = 40°
time, t = 2.12 s
Horizontal component of the velocity:
![u_x = u cos \theta](https://img.qammunity.org/2021/formulas/physics/college/iltuheq17yqlx6gzv2rd5r4aq8asmie2pu.png)
![u_x = 10.2* cos 40^0](https://img.qammunity.org/2021/formulas/physics/college/i31v17hjewpmwvo58vrwdqvli1wssturzu.png)
![u_x = 7.81 m/s](https://img.qammunity.org/2021/formulas/physics/college/96ljroceoq69j5e7jpzs8g7l5bnqbsxko4.png)
In projectile motion horizontal component of the velocity remain same at every point because there is no acceleration.
So, Velocity at the Pinnacle is equal to 7.81 m/s