Question

For all problems, please show all work. Pay attention to units. Any evidence of cheating will be an automatic 0%. Consider the projectile shown below launched from the origin off a cliff with dimensions a=79 ft and b = 15 ft, an initial velocity $v_o$ = 36 ft/s and initial angle $\theta$ = 41°. a. Calculate equations of motion for $\vec{a}(t)$, $\vec{v}(t)$ and $\vec{r}(t)$. b. How long does it take to hit the bottom of the pit which is location $(L, -b)$? c. Calculate how far it travels along the x direction denoted by L [ft]. d. Check if it will hit the side of the ledge $(a, 0)$.

          For all problems, please show all work. Pay attention to units. Any evidence of cheating will be an automatic 0%.
Consider the projectile shown below launched from the origin off a cliff with dimensions
a=79 ft and b = 15 ft, an initial velocity $v_o$ = 36 ft/s and initial angle $\theta$ = 41°.
a. Calculate equations of motion for $\vec{a}(t)$, $\vec{v}(t)$ and $\vec{r}(t)$.
b. How long does it take to hit the bottom of the pit which is location $(L, -b)$?
c. Calculate how far it travels along the x direction denoted by L [ft].
d. Check if it will hit the side of the ledge $(a, 0)$.

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For all problems, please show all work. Pay attention to units. Any evidence of cheating will be an automatic 0%.
Consider the projectile shown below launched from the origin off a cliff with dimensions
a=79 ft and b = 15 ft, an initial velocity vo = 36 ft/s and initial angle θ = 41°.
a. Calculate equations of motion for a⃗(t), v⃗(t) and r⃗(t).
b. How long does it take to hit the bottom of the pit which is location (L, -b)?
c. Calculate how far it travels along the x direction denoted by L [ft].
d. Check if it will hit the side of the ledge (a, 0).

Added by Emilio E.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Shahab Ullah

Step 1

To calculate the equations of motion for at and rt, we need to break down the initial velocity into its x and y components. The initial velocity in the x-direction (vx) can be calculated using the formula: vx = v * cos(θ) Substituting the given values: vx = 36 Show more…

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For all problems, please show all work. Pay attention to units. Any evidence of cheating will be an automatic 0%. Consider the projectile shown below launched from the origin of a cliff with dimensions a = 79 ft and b = 15 ft and an initial velocity v = 36 ft/s and initial angle Î¸ = 41Â°. a. Calculate the equations of motion for at and rt. b. How long does it take to hit the bottom of the pit, which is located at (L, -b)? c. Calculate how far it travels along the x-direction, denoted by L [ft]. d. Check if it will hit the side of the ledge at (0, a).

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