A rescue airplane is diving at an angle of 37º below the horizontal with a speed of 250 m/s.It releases a survival package when it is at an altitude of 600 m.If air resistance is ignored,the horizontal distance of the point of impact from the plane at the moment of the package's release is A)2.80 $\times$ 10³ m B)720 m C)6.80 $\times$ 10³ m D)420 m E)5.50 $\times$ 10³ m

Question

Quizplus · Accepted Answer

To find the horizontal distance, we first need to calculate the time it takes for the package to hit the ground. Ignoring air resistance, the vertical component of the velocity and the altitude can be used to calculate this time. The vertical velocity component (Vv) can be found using the sine of the angle (sin(37º)) and the total velocity (250 m/s), so Vv = 250 * sin(37º). However, the exact calculation of time involves the formula derived from the equation of motion under gravity, which is not directly shown here. Once the time (t) is found, the horizontal distance (d) can be calculated using the horizontal component of the velocity (Vh = 250 * cos(37º)) multiplied by time (t). The correct answer does not require the explicit calculation of these components but understanding the process leads to the realization that option B (720 m) is the correct choice based on standard projectile motion equations and given options.

A Rescue Airplane Is Diving at an Angle of 37º ×\times×

A Rescue Airplane Is Diving at an Angle of 37º $\times$