Can you please also include the diagram and all the variables in the X and Y pos

Question

Can you please also include the diagram and all the variables in the X and Y position

11. The determined Wiley E Coyote is out once more to try to capture the elusive roadrunner. The coyote wears a pair of Acme jet powered roller skates, which provide a constant horizontal acceleration "a". The coyote starts off at rest "D" meters from the edge of a cliff at the instant the roadrunner zips by in the direction of the cliff. The cliff is "H" meters above the canyon floor. Given [ac, D, H], Determine: a. If the roadrunner moves at constant speed, what should the roadrunners minimum speed be in order to reach the cliff before the coyote? b. As usual the roadrunner is saved by making a sudden turn at the cliff. Determine where the coyote lands in the canyon. (Assume is skates are still in operation when he is in flight) c. The velocity of the coyote just before hitting the canyon floor.

Explanation / Answer

part a:

le time taken to reach the edge be t seconds.

then using the formula:

distance=initial speed*time+0.5*acceleration*time^2

==>D=0*t+0.5*ac*t^2

==>t=sqrt(2*D/ac)

the constant speed required of the roadrunner =distance to be covered/time

=D/t

=sqrt(0.5*D*ac)

part b:

initial speed with which the coyote leaves the cliff=initial speed+acceleration*time

=ac*t=sqrt(2*ac*D)

let time taken to reach the land be t1 seconds.

initial vertical speed=0

acceleration=g

then H=0*t1+0.5*g*t1^2

==>t1=sqrt(2*H/g)

then the distance of coyote where landed from the cliff=horizontal speed at which coyote leaves the cliff*time taken to reach the land

=sqrt(2*ac*D)*sqrt(2*H/g)

part c:

horizontal speed of coyote will remain constant as sqrt(2*ac*D)

vertical speed at t1=g*t1=sqrt(2*H*g)

then total velocity=sqrt(horizontal speed^2+vertical speed^2)

=sqrt(2*ac*D+2*h*g)

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---