Answer to Question #263134 in Physics for jason

Question

A person kicks a ball with an initial velocity 15m/s at an angle 37° above the horizontal (neglect

the air resistance). Find:

a. the total time the ball is in the air.

b. the horizontal distance traveled by the ball.

Answer 1

a) The total time is given as follows (see https://courses.lumenlearning.com/boundless-physics/chapter/projectile-motion/):

$$T = \dfrac{2u\sin\theta}{g}$$

where $u = 15m/s, \theta = 37\degree, g = 9.8m/s^2$. Thus, obtain:

$$T = \dfrac{2\cdot 15\cdot \sin37\degree}{9.8} \approx 1.8s$$

b) The horizontal distance:

$$R = \dfrac{u^2\sin2\theta}{g} = \dfrac{15^2\cdot \sin(2\cdot 37\degree)}{9.8} \approx 22m$$

Answer. a) 1.8s, b) 22m.