ACTIVITY 2 (LECTURE) SCI 2 PHYSICS FOR ENGINEERS I. Answer the following and write your answers on a piece of paper. Upload your work in pdf or jpeg file (portrait). Express your final answers in two...

Extracted text: ACTIVITY 2 (LECTURE) SCI 2 PHYSICS FOR ENGINEERS I. Answer the following and write your answers on a piece of paper. Upload your work in pdf or jpeg file (portrait). Express your final answers in two decimal places. 1. A turtle is crawling along a straight line. Its distance from the origin at any instant is given by the equation x = 8t – 3t², where x is in centimeters and t is in seconds. Find (a) the average velocity of the body in the interval from t = Os to t = 1s (1pt) and (b) the instantaneous velocity at t = 2.5s. (1pt) 2. A cheetah is chasing a deer at velocity v = 1.8 t³ – 12t where in v is in meters and t is in seconds. Find (a) the average acceleration at time interval of 3.5s and 4.5s (2pts) and (b) the instantaneous acceleration at t = 1.5s.(2pts) 3. An antelope moving with constant acceleration covers the distance between two points 50m apart in 5 seconds. Its velocity as it passes the second point is 15 m/s. What is the antelope's acceleration? (2pts) 4. A ball is released from rest and rolls down an inclined plane, requiring 4.5 seconds to cover a distance of 100 ft. What is the ball's acceleration in cm per square seconds? (2pts) 5. A water balloon was dropped from the top of a building. The velocity of the balloon right before it hits the ground is 93 m/s. It took 8s for it to reach the ground. Determine the velocity as soon as it was released. Disregard the effects of air resistance. (2pts) 6. Assume there is a one-peso coin at the edge of a 1m high table. Neglecting air resistance, how long will it take for the coin to reach the ground if it was dropped from rest? (2pts) A catapult launches a angle to the horizontal with a speed of 20 meters per second. The castle wall is at a cas The bomb at a degree 40 meters away and 20 meters high. (a) What is the position of the bullet after 0.5 seconds? (2pts) and (b) What is the maximum range and height of the bomb? (2pts) (c) Will it be successful in bombing the castle? Explain. (2pts)