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 catches it at the same location in the truck bed, but 16.0 m farther down the road. Ignore any effects of air resistance. (a) At what angle to the vertical does the boy throw the can, relative to the moving truck? (b) What is the can’s initial 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? Figure P3.40
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 catches it at the same location in the truck bed, but 16.0 m farther down the road. Ignore any effects of air resistance. (a) At what angle to the vertical does the boy throw the can, relative to the moving truck? (b) What is the can’s initial 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? Figure P3.40
Solution Summary: The author explains how the can is thrown vertically upwards or at 0° to the vertical.
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 catches it at the same location in the truck bed, but 16.0 m farther down the road. Ignore any effects of air resistance. (a) At what angle to the vertical does the boy throw the can, relative to the moving truck? (b) What is the can’s initial 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?
Consider a projectile launched form ground level at an angle of elevation with an initial velocity . The maximum horizontal range is given by xmax=(v 2/0 sin2θ)/g, where g is the acceleration due to gravity.
Here is the problem: If a soccer ball is kicked from ground level with an initial velocity of 28 m/sec, what is the smallest positive angle at which the player should kick the ball to reach a teammate 48m down the field? Assume that the ball reaches the teammate at ground level on the fly. Round to the nearest tenth of a degree.
A cannon launches a cannonball from level ground with an initial speed of 80 m/s at an angle of 280 above the horizontal. What horizontal distance does the cannonball travel when the cannonball returns to the ground? Given the same initial velocity of launch, at what other angle above the ground can the cannonball be fired and achieve the same horizontal range as before? (Assume that g = 9.81 m/s2.)
a.
Range = 540 m, and angle = 420 above the horizontal
b.
Range = 600 m, and angle = 620 above the horizontal
c.
Range = 270 m, and angle = 620 above the horizontal
d.
Range = 540 m, and angle = 620 above the horizontal
e.
Range = 270 m, angle = 420 above the horizontal
An inflatable life raft is released from an airplane at 300 m altitude, in level flight, with an air speed of 100 m/s in the horizontal direction. At what horizontal distance from the release point does the raft strike the water?
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