Final answer:
To determine if the monkey can catch the balloon, we can use the initial velocity, launch angle, and the formulas for projectile motion to calculate the time of flight and maximum height. Option D. The monkey does not catch the ball is the correct answer.
Explanation:
When balloons are fired at a monkey from an angle of 37° with a velocity of 15 m/s, a height of 0 m, and a distance of 40 m, we can determine the monkey's ability to catch the balloon using the principles of projectile motion. The launch angle and velocity can be used to calculate the horizontal (vx) and vertical (vy) components of the initial velocity. The horizontal velocity (vx) is given by vx = v * cos(θ) and the vertical velocity (vy) is given by vy = v * sin(θ), where v is the initial velocity and θ is the launch angle.
Using these, the time of flight (t) can be calculated using the formula t = d / vx, where d is the horizontal distance. After finding the time of flight, we can calculate the maximum height reached by the balloon using the formula h = vy * t - (1/2) * g * t^2, where g is the acceleration due to gravity (9.81 m/s²). By substituting the known values, we can determine which answer choice, A-D, is correct.