6) IN A RELAY, RUNNER A IS CARRYING A BATON AND HAS A SPEED OF 3.4M/S. WHEN HE I

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6) IN A RELAY, RUNNER A IS CARRYING A BATON AND HAS A SPEED OF 3.4M/S. WHEN HE IS 25M BEHIND THE STARTING LINE, RUNNER B STARTS FROM REST AND ACCELERATES AT 0.140M/S. HOW FAST IS B TRAVELING WHEN A OVERTAKES HER? 7) THE VELOCITY OF AN OBJECT IS GIVEN BY THE EXPRESSION V(t)-4+ 3tA2. DETERMINE THE POSITION OF THE OBJECT AS A FUNCTION OF TIME IF IT IS LOCATED AT X=IM AT TIME T 0.00s A HOCKEY PUCK SLIDES OFF THE EDGE OF A TABLE WITH INITIAL VELOCITY OF 30M/S. THE HEIGHT OF THE TABLE ABOVE THE GROUND IS 4M. HOW FAR FROM THE EDGE OF THE TABLE MEASURED ALONG THE FLOOR, DOES THE PUCK HIT THE FLOOR? A CHILD THROWS A BALL WITH INITIAL SPEED OF 8m/s AT AN ANGLE OF 45DEGREES ABOVE THE HORIZONTAL. THE BALL LEAVES HER HAND 2m ABOVE THE GROUND. HOW LONG IS THE BALL IN FLIGHT BEFORE IT HITS THE GROUND? 8) 9) 10) AN AIRPLANE IS FLYING AT SPEED OF 200m/s IN LEVEL FLIGHT AT AN ALTITUDE OF 800m. A PACKAGE IS TO BE DROPPED FROM THE AIRPLANE TO LAND ON A TARGET ON THE GROUND. IN WHAT DIRECTION, WILL THE PACKAGE BE TRAVELLING WHEN IT HITS THE GROUND. 11) A 60KG PERSON RIDES IN AN ELEVATOR WHILE STANDING ON A SCALE. THE SCALE READS 500N. WHAT IS THE ACCELERATION OF THE ELEVATOR 12) A SWIMMER HEADING DIRECTLY ACROSS A RIVER 200m WIDE REACHES THE OPPOSITE BANK IN 6MINUTES 40SECONDS. SHE IS SWEPT DOWNSTREAM 480M. WHAT IS THE SPEED OF THE CURRENT? 3) A TRAFFIC LIGHT OF WEIGHT 200N IS SUPPORTED BY TWO ROPES AS SHOWN BELOW. WHAT IS THE TENSION IN THE ROPES? 3a 3

Explanation / Answer

(6) suppose after time t, A overtakes her.

dA = 3.4 t

dB = 0.140 t^2 /2 = 0.07 t^2

and dA = dB + 25

3.4 t = 0.07 t^2 + 25

t = 9.03 sec

v = v0 + a t

v = 0 + (0.140 x 9.03) = 1.26 m/s ....Ans

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