Math Problem Statement
a ball is shot at a ground level at an angle of 60 degrees with an initial velocity of 100m/s
a. find the velocity of a ball after 2 seconds
b. maximum height of the ball
c. range
d. time of flight
Solution
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Math Problem Analysis
Mathematical Concepts
Projectile Motion
Kinematics
Trigonometry
Formulas
Horizontal velocity: v_x = u_x
Vertical velocity: v_y = u_y - g * t
Velocity magnitude: v = sqrt(v_x^2 + v_y^2)
Maximum height: h_max = u_y * t_max - 0.5 * g * t_max^2
Range: R = u_x * T
Time of flight: T = 2 * t_max
Theorems
Equations of Motion under Constant Acceleration
Suitable Grade Level
Grades 11-12
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