: A farm truck travelsdue east with a constantspeed of 9.50 m/s alonga horizontal road. A boyriding in the back of thetruck tosses a can of sodaupward (Fig. P3.40) andFigure P3.40catches it at the same loca-tion in the truck bed, but16.0 m farther down the road. Ignore any effects of air resis-tance. (a) At what angle to the vertical does the boy throw thecan, relative to the moving truck? (b) What is the can's ini-tial speed relative to the truck? (c) What is the shape of thecan's trajectory as seen by the boy? (d) What is the shape ofthe can's trajectory as seen by a stationary observer on theground? (e) What is the initial velocity of the can, relative tothe stationary observer?

Question
Asked Dec 17, 2019
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: A farm truck travels
due east with a constant
speed of 9.50 m/s along
a horizontal road. A boy
riding in the back of the
truck tosses a can of soda
upward (Fig. P3.40) and
Figure P3.40
catches it at the same loca-
tion in the truck bed, but
16.0 m farther down the road. Ignore any effects of air resis-
tance. (a) At what angle to the vertical does the boy throw the
can, relative to the moving truck? (b) What is the can's ini-
tial speed relative to the truck? (c) What is the shape of the
can's trajectory as seen by the boy? (d) What is the shape of
the can's trajectory as seen by a stationary observer on the
ground? (e) What is the initial velocity of the can, relative to
the stationary observer?
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: A farm truck travels due east with a constant speed of 9.50 m/s along a horizontal road. A boy riding in the back of the truck tosses a can of soda upward (Fig. P3.40) and Figure P3.40 catches it at the same loca- tion in the truck bed, but 16.0 m farther down the road. Ignore any effects of air resis- tance. (a) At what angle to the vertical does the boy throw the can, relative to the moving truck? (b) What is the can's ini- tial speed relative to the truck? (c) What is the shape of the can's trajectory as seen by the boy? (d) What is the shape of the can's trajectory as seen by a stationary observer on the ground? (e) What is the initial velocity of the can, relative to the stationary observer?

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Expert Answer

Step 1

a)

The velocity of the truck is 9.5m/s and the distance is 16m.

If the can is thrown at an angle, it will have both horizontal and vertical components of velocity. A non –zero horizontal components would lead the ball to move an extra distance than due to the motion of the car. Hence it cannot be caught at the same location on the truck bed.

Thus the can of soda must be thrown straight up at an angle 00 to the vertical for the boy to catch it at the same location on the truck bed.

Step 2

b)

Time for the horizontal motion is

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+a° x- = yt+ x=x +vyt+at 16m=0+(9.5m/s)t+(0) 0)f 16m t: 9.5m/s =1.68s

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Step 3

c)

The path followed by the moving object is known as trajectory.

The boy sees the can of soda always over his head, t...

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