QUESTION 11 A ball thrown horizontally from a point 12 meters above the ground w

Question

QUESTION 11 A ball thrown horizontally from a point 12 meters above the ground with initial horizontal speed of 4 m/s. How far will it travel horizontally before it hits the ground? (use g- 10 m/s; round your answer to two decimals). QUESTION 12 A ball thrown horizontally from a point 38 meters above the ground, strikes the ground after traveling horizontally a distance of 18 meters. With what speed was it thrown? (use g 10 m/s: round your answer to two decimals) QUESTION 13 A nuffnuff is shot at an optimum angle, with speed 26 m/s. How far will it travel horizontally before hitting the ground? (use g 10 m/s": round your answer to two decimals)

Explanation / Answer

11) h= vertical distance or height = 12m

ux= initial speed in horizontal direction = 4 m/s

g= 10 m/s2

R= range or horizontal distance = ?

uy= initial velocity in vertical direction = 0

from equation of motion in vertical direction:

Sy= uy*t+ (1/2)*ay*t2

h= 0+ (1/2)*g*t2

12= 0+ (1/2)*10*t2

t(time) = (12*2 / 10)1/2

t= 1.549 s

in horizontal direction , Sx= ux*t + (1/2)*ax*t2   ( ax, horizontal acceleration = 0)

R= 4*1.549 + 0

R= 6.196 m

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