Question

A construction worker drops a full paint can from a height of 500 feet. when will the paint can hit the ground? at what velocity will the paint can impact the ground?

Answer 1

Using movement concepts, it is found that:

1. The object hits the ground after 5.59 seconds.
2. The object hits the ground at a velocity of -178.88 feet per second.

The height of the object after t seconds, dropped from a height of 500 feet, is given by:

$-16t^{2} +500=0$

It hits the ground at h(t)=0,

thus:

h(t)=0

$-16t^{2} +500=0$

$16t^{2}=500\\t^{2}=\frac{500}{16}\\ t=\sqrt{\frac{500}{16} }\\ t=5.59 sec$

The object hits the ground after 5.59 seconds.

Therefore the velocity=

v(t)=h'(t)= -32t

The velocity at which the paint can impact the ground is

                                         =v(5.59)

                                         =-32(5.59)

                                         =-178.88 feet pr sec

The object hits the ground at a velocity of -178.88 feet per second.

To learn more about the velocity

brainly.com/question/17127206

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