help quick Exam consists of .S (five, problems To get full or panicle credit sho

Question

help quick Exam consists of .S (five, problems To get full or panicle credit show all the Work in the bookie provided Frame your answer Good luck! I. A motorist drives along a straight road at a constant speed of 15 m/s. She passes a motorcycle police officer moving with 8 m/s. after 2.0 sec the officer starts to at 2.0 m/s2 to overtake her. Determine Time it will take the police officer to reach the motorist. Speed and total displacement of the police officer as he overtakes the motorist. 2. From an elevation of 100 m above the horizontal plane, a projectile is launched at angle of25 0 above the horizontal. It strikes a target that has a horizontal range of 500 m. Find the initial speed of the projectile. . A block of mass 15kg is hold by a cord on a frictionless inclined plane. a) What is the tension in the cord if 6 27degree ?

Explanation / Answer

here
Vm = 15 m/s
vpi = 8 m/s
vpf = 2 m/s after t = 2sec

Time taken by police officer :

for the officer to reach the motorist, their distances must be the same.
S1 = ut
S2 = 0.5 *at^2
S1 = S2
15 * (t ) = 0.5 * 2 * (t -2)^2

t = 18.8 s

Velcoity :

v = 2 * (18.8 - 2)
v = 33.6 m/s

Displaceemnt :
D = 15 *t
D = 15*18.8
D = 282 m

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