Final answer:
Correct option: B. 45. °To find the impact angle of the object, we analyze the horizontal and vertical components of velocity. The angle is calculated using the arctan of the ratio of vertical to horizontal velocity, yielding an angle of 45 degrees when both components are equal.
Step-by-step explanation:
Understanding Projectile Motion and Impact Angle
The problem describes a scenario where an object is released from a plane flying horizontally and hits the ground after 10 seconds.
The velocity at which it was ejected is 98 meters per second.
To determine the angle at which the object hits the ground, we can analyze the horizontal and vertical components of the velocity at the moment of impact.
Since there is no horizontal acceleration, the horizontal component of velocity remains constant at 98 m/s.
The vertical component, on the other hand, is affected by gravity and can be calculated using the formula v = gt, where g is the acceleration due to gravity (9.8 m/s2) and t is the time.
After finding the vertical component, we can use trigonometry to find the angle of impact by calculating the arctan of the vertical velocity divided by the horizontal velocity.
Applying this to the given problem, the vertical component comes out to be
v = 9.8 m/s2 * 10 s
= 98 m/s.
Since both components of velocity are equal, the angle with the horizontal is 45 degrees, making option B the correct answer.