1. The acceleration as a function of the time of an object is presented by the graph. Assuming the object starts from rest at time t = 0 and its initial position is Xo = 50 m. a. What is the velocity of the object at t= 10 s, t = 25 5, t = 35 5? b. What is the position of the object at t = 10 5, t = 25 5, t= 35 5? C. Graph the velocity of the object as a function of time. d. Graph the position of the object as a function of time. 2 Acceleration (m/s?) 0 5 10 15 20 30 3 -2 -3 time (s)2. A helicopter moves straight up with a constant velocity of 8 m/s. When the helicopter is 120 m above the ground level the pilot drops a package. Ignore air resistance. a. Find the position relative to the ground, and the velocity of the package 5 s after it was dropped. b. How long will the package stay in the air? c. What will the velocity of the package be just before it strikes the ground? d. What is the maximum height the package reaches? e. Graph the following y(t), v.(t), a (t) after the package is dropped.4. A ball is thrown horizontally from the roof of a building 12 m tall with a speed of 3.1 m/s. a. How much later does the ball hit the ground? b. How far from the building will it land? C. What is the velocity of the ball just before it hits the ground?6. 6 A projectile is fired with an initial speed of 40 m/s at an angle of 23 degrees above the horizontal. a. Determine the total time in the air. b. Determine the maximum height reached by the projectile. C. Determine the maximum horizontal distance covered by the projectile. d. Determine the velocity of the projectile 2s after firing