7/24/2019 PHY10 Linear Kinematics, Projectile Motion Problems

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PHY10 LINEAR KINEMATICS, PROJECTILE MOTION

1. A motorcyclist is heading east through a small Iowa city accelerates after he

passes the signpost marking the city limits. His acceleration is a constant 4.0

m/s2. At time t = 0 he is .0 m east of the signpost! mo"ing east at 1 m/s.

#a$ %ind his position and "elocity at time t = 2.0 s

#&$ 'here is the motorcyclist when his "elocity is 2 m/s(

2. A motorist tra"eling with a constant speed of 1 m/s passes a school)crossing

corner! where the speed limit is 10 m/s. *ust as the motorist passes! a police

o+cer on a motorcycle stopped at the corner starts o, in pursuit with

constant acceleration of -.0 m/s2.

#a$ How much time elapses &efore the o+cer catches up with the motorist(

#&$ 'hat is the o+cers speed at that point(

#c$ 'hat is the total distance each "ehicle has tra"elled at that point(

-. A red car and a green car! identical ecept for the color! mo"e toward each

other in adacent lanes and parallel to an ) ais. At the t = 0! they are 220 m

apart. If the red car has a constant "elocity of 20 km/h! the cars pass each

other at = 44. m #with reference to the red cars initial position.$ and if it

has a constant "elocity of 40 km/h # with reference to the red cars initial

position$! they pass each other at = . m. 'hat are #a$ the initial "elocity

and the #&$ constant acceleration of the green car(4. #a$ 'ith what speed must a &all &e thrown "ertically from the ground le"el to

rise a maimum height of 0 m( #&$ How long will it &e in the air(. An electric "ehicle starts from rest and accelerates at a rate of 2.0 m/s2in a

straight line until it reaches a speed of 20 m/s. 3he "ehicle then slows at aconstant rate of 1.0 m/s2until it stops. #a$ How much time elapses from start

to stop( #&$ How far does the "ehicle tra"el from start to stop(. A one)euro coin is dropped from the 5eaning tower of 6isa. It starts from rest

and falls freely. 7ompute its position and "elocity after 1.0 s! 2.0 s and -.0 s.. 8ou throw a &all "ertically upward from the roof of a tall &uilding. 3he &all

lea"es your hand at a point e"en with the roof railing with an upward speed

of 1.0 m/s9 the &all is then in free fall. :n its way &ack down! it ust misses

the railing. At the location of the &uilding g = .; m/s2. %indars. 3he landing craft

is the origin of coordinates! and the surrounding >artian surface lies in the y

plane. 3he ro"er! which we represent as a point has ) and y) coordinates that"ary with time< = 2.0 m ) #0.2 m/s2$ t2

y = # 1.0 m/s $ t @ # 0.02 m/s-$ t-

a. %ind the ro"ers coordinates and its distance from the lander at t=2.0s&. %ind the ro"ers displacement and a"erage "elocity during the time

inter"al.c.eri"e a general epression for the instantaneous "elocity.

11.A &atter hits a &ase&all so that it lea"es the &at at speed "o= -.0 m/s at an

angle of -.1 degrees! at a location where g = .; m/s2.a. %ind the position of the &all! and the magnitude and direction of its

"elocity at t = 2.0 s.&. %ind the time when the &all reaches the highest position of its Bight and

Cnd its height at this point.c. %ind the horiDontal range) the horiDontal distance from the starting point

to where the &all hits the ground.

Engr. E. D. DimaunahanPHY10Kinematics, Projectile 11/13/2013