1. An experiment done on the Moon shows the position of a particle moving along the y-axis varies in time according to the expression Y(t)= -50 + 100t - 20t2, where Y is in m and t is in seconds.
(a) Determine the initial velocity, initial position and acceleration of the particle?
(b) Write an expression and draw graphs of the position and velocity as a function of time?
(c) Determine the acceleration, velocity and position of the particle at t = 10 s.
(d) What is the maximum height the object reaches and at what time does it reach this height?
2. Can the sum of two vectors A = 2 and B = 3 and C = 4 be equal to zero? Explain
3. Given the vectors N = 10 i - 6 j and M = 5i - 8 j.
(a) Draw the vector L = N - M.
(c) Find the magnitude and direction of the vector L.
4. Three displacement vectors of a croquet ball are shown in figure 1 where A = 20 m, B=15 m and C = 20 m. Find (a) the resultant in unit-vector notation, and (b) the magnitude and direction of the resultant displacement. Not drawn to scale.
5. Figure 2 displays the velocity versus time of a car in motion. What's the displacement of the car (a) between t = 0 and 5 s, (b) t= 13 and 15 s and (c) how far is the car after 15s?
6. It took 5 s to come to a halt for a car to travel 200 m. Find its initial velocity and acceleration.
7. A ball is thrown upwards with initial velocity of 50 m/s and at the same time another ball is released from rest from the roof of 6 m building. At what position and time do the two balls pass each other?