Examples on Motion of Projectiles

Example (1): The coordinates of a particle moving in the xy-plane are given by
??=1+2??2 (??)
??=2??+??3 (??)
Find the particle’s position, velocity and acceleration at time ??=2??



Example (2): if the position of a particle (???) moving in xy-plane is given by
???=(3??3?5??)???+(6?7??4)??? Calculate ???, ??? and ??? at ??=2???



Example (3): A particle velocity ???0=?2???+4??? at ??=0 undergoes constant ??? of magnitude ??=3(??/??2) at angle ??=130 from the positive direction of the x-axis, what is the particle’s velocity ??? at ??=5 ??, in unit vector notation, and in magnitude angle notation?



Example (4): Ball kicked horizontally at 18(????) off a 50?? high cliff, find
a. Time to impact
b. Speed at impact
c. Impact point
d. Angle at impact
Example (5): Gun fired a bullet with velocity 200(????) by an 40° with horizontal, find a velocity and position of a bullet after 20 ?? and find range and time required to return to ground?
Example (6): A long- jumper leaves the ground at an angle of 20°above the horizontal and at a speed of 11(????)
a. How far does he jump in horizontal direction?
b. What is maximum height reached?