Most projectiles continually move farther from the origin during their flight, b

Question

Most projectiles continually move farther from the origin during their flight, but this is not the case if the launch angle is greater than cos-1(1/3)=70.5. For example, the projectile shown in the figure (Figure 1)has a launch angle of 75.0 and an initial speed of 9.90 m/s . During the portion of its motion shown in red, it is moving closer to the origin-it is moving away on the blue portions.

A) Calculate the distance from the origin to the projectile at the start of the red portion.

B) Calculate the distance from the origin to the projectile at the end of the red portion.

C) Calculate the distance from the origin to the projectile just before the projectile lands. Notice that the distance for part (b) is the smallest of the three.

Explanation / Answer

(a) ans

now we find the distance from the origin to the projectile at the start of the red portion

the red portion is start at x=3.05 m,y=4.75 m

distance d=(x^2+y^2)^1/2=(3.05^2+4.75^2)^1/2=5.645 m

(b) ans

now we find the distance from the origin to the projrctle at the end of the red portion

the red pertion is end in x- =4.75 m,y=1.5 m

distance d=(4.75^2+1.5^2)^1/2=4.98 m

(c) ans

now we find the distance from the origin to the just before the projectile land

distance d=(5^2+0^2)^1/2=5m

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