Instruction: In a clean white sheet of paper, answer the following problems, show your complete solution, and box your final answer.
A bus driver is traveling at a speed of 80 km/hr. He saw a cat 120 m away on the road. What is the minimum constant acceleration that the bus must undergo to avoid hitting the cat (assuming the cat does not move)?
The position of a particle position moving along a straight line is given by x = 1.80 – 3.70t 5.00 where x is in meters and t in seconds.
a. Derive the expressions for velocity and acceleration of the object as a function of time.
b. Find the position of the particle at t = 0; t= 2.00s; and t= 4.00s.
c. Find the velocity of the particle at t = 0; t= 2.00s; and t= 4.00s.
d. What is the acceleration of the particle at t = 0; t= 2.00s; t= 4.00s?
3. From rest, a truck accelerates at 6.50 m/ when the traffic light turns green. At the same location and time of the truck, a train travels an initial constant velocity of 14.7 m/s. (a) Determine the distance (x) and the time (t) where the two vehicles will again meet? (b) Draw the position vs time graph of the two vehicles.
Note: Use different colors of pen in sketching the graph of the two vehicles. (Use the following equations, and to find the time when the two vehicles will meet again. After finding the time, calculate for the distance (x) of the truck and the train, these two should be equal.)
