### Physics Problems for Students #### Problem 1 **An aircraft is heading due south at a speed of 600 km/h. If a wind begins blowing from the southwest at a speed of 100 km/h, calculate:** (a) The velocity (magnitude and direction) of the craft relative to the ground. (b) How far from its intended position it will be after 600 seconds if the pilot takes no corrective action. --- #### Problem 4 **An airplane is flying with a velocity of 45.0 m/s at an angle of 50.0° above the horizontal. When the plane is 120 m directly above a car parked on level ground, a box drops out of the luggage compartment.** * **Question:** What is the distance between the car and where the box landed? --- #### Problem 5 **On a cross-country ski trip, you travel 1.00 km north and then 2.00 km east.** * **Question:** How far and in what direction are you from your starting point? --- #### Problem 6 **A cheetah is crouched in ambush 20.0 m to the east of an observer's vehicle. At time t = 0, the cheetah charges an antelope in a clearing 50.0 m east of the observer. The cheetah runs along a straight line; the observer estimates that, during the first 2.00 s of the attack, the cheetah's coordinate x varies with time t according to the equation...** (Note: The equation is not provided in the image.) --- **Explanation:** - **Problem 1** involves vector addition and relative motion principles to solve for the resultant velocity and displacement over time. - **Problem 4** involves projectile motion, requiring the resolution of initial velocity into horizontal and vertical components and calculating the trajectory. - **Problem 5** can be solved using the Pythagorean theorem and trigonometry to find the resultant displacement vector. - **Problem 6** seems to involve kinematic equations to describe the motion of the cheetah. These problems are designed to test the application of concepts in physics such as kinematics, vectors, and relative motion.