**PRACTICE IT**Use the worked example above to help you solve this problem. A jet plane traveling horizontally at \( v_{0,x} = 1.15 \times 10^2 \, \text{m/s} \) drops a rocket from a considerable height (see figure). The rocket immediately fires its engines, accelerating at \( 27.0 \, \text{m/s}^2 \) in the x-direction while falling under the influence of gravity in the y-direction. When the rocket has fallen 1.00 km, find the following:(a) its velocity in the y-direction \[ \_\_\_\_ \, \text{m/s} \](b) its velocity in the x-direction \[ \_\_\_\_ \, \text{m/s} \](c) the magnitude and direction (counterclockwise from the \( +x \)-axis) of its velocity. Neglect air drag and aerodynamic lift. magnitude \[ \_\_\_\_ \, \text{m/s} \] direction \[ \_\_\_\_ ^\circ \]---**EXERCISE***HINTS:* [GETTING STARTED](#) | [I'M STUCK!](#)Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.20 km wide.(a) What minimum constant acceleration in the x-direction must be provided by the engines so the cycle crosses safely if the opposite side is 0.890 km lower than the starting point? \[ \_\_\_\_ \, \text{m/s}^2 \](b) At what speed does the motorcycle land if it maintains this constant horizontal component of acceleration? Neglect air drag, but remember that gravity is still acting in the negative y-direction. \[ \_\_\_\_ \, \text{m/s} \]*Submit Answer*

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Description: **PRACTICE IT**Use the worked example above to help you solve this problem. A jet plane traveling horizontally at \( v_{0,x} = 1.15 \times 10^2 \, \text{m/s} \) drops a rocket from a considerable height (see figure). The rocket immediately fires its

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EXERCISE HINTS: GETTING STARTED | I'M STUCK! Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.20 km wide. (a) What minimum constant acceleration in the x-direction must be provided by the engines so the cycle crosses safely if the opposite side is 0.890 km lower than the starting point? m/s2 (b) At what speed does the motorcycle land if it maintains this constant horizontal component of acceleration? Neglect air drag, but remember that gravity is still acting in the negative y-direction. m/s

EXERCISE HINTS: GETTING STARTED | I'M STUCK! Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.20 km wide. (a) What minimum constant acceleration in the x-direction must be provided by the engines so the cycle crosses safely if the opposite side is 0.890 km lower than the starting point? m/s2 (b) At what speed does the motorcycle land if it maintains this constant horizontal component of acceleration? Neglect air drag, but remember that gravity is still acting in the negative y-direction. m/s

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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**PRACTICE IT**

Use the worked example above to help you solve this problem. A jet plane traveling horizontally at \( v_{0,x} = 1.15 \times 10^2 \, \text{m/s} \) drops a rocket from a considerable height (see figure). The rocket immediately fires its engines, accelerating at \( 27.0 \, \text{m/s}^2 \) in the x-direction while falling under the influence of gravity in the y-direction. When the rocket has fallen 1.00 km, find the following:

(a) its velocity in the y-direction
\[ \_\_\_\_ \, \text{m/s} \]

(b) its velocity in the x-direction
\[ \_\_\_\_ \, \text{m/s} \]

(c) the magnitude and direction (counterclockwise from the \( +x \)-axis) of its velocity. Neglect air drag and aerodynamic lift.
magnitude \[ \_\_\_\_ \, \text{m/s} \]
direction \[ \_\_\_\_ ^\circ \]

---

**EXERCISE**

*HINTS:* [GETTING STARTED](#) | [I'M STUCK!](#)

Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.20 km wide.

(a) What minimum constant acceleration in the x-direction must be provided by the engines so the cycle crosses safely if the opposite side is 0.890 km lower than the starting point?
\[ \_\_\_\_ \, \text{m/s}^2 \]

(b) At what speed does the motorcycle land if it maintains this constant horizontal component of acceleration? Neglect air drag, but remember that gravity is still acting in the negative y-direction.
\[ \_\_\_\_ \, \text{m/s} \]

*Submit Answer*

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