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Consider a rock that is thrown off a bridge of height 68 m at an angle = 21° with respect to the horizontal as shown in the figure below. If the initial speed the rock is thrown is 15 m/s, find the following quantities. y to Bridge 0 x

Consider a rock that is thrown off a bridge of height 68 m at an angle = 21° with respect to the horizontal as shown in the figure below. If the initial speed the rock is thrown is 15 m/s, find the following quantities. y to Bridge 0 x

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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Consider a rock that is thrown off a bridge of height 68 m at an angle \( \theta = 21^\circ \) with respect to the horizontal as shown in the figure below. If the initial speed the rock is thrown is 15 m/s, find the following quantities. **Figure Description:** The diagram shows a side view of a bridge with a rock being thrown off at an angle \( \theta = 21^\circ \) above the horizontal axis. The vertical height from the water below to the point on the bridge where the rock is thrown is 68 meters. **Questions:** (a) The time it takes the rock to reach its maximum height. \[ \_\_\_\_\_\_\_\_ \, \text{s} \] (b) The maximum height reached by the rock. \[ \_\_\_\_\_\_\_\_ \, \text{m} \] (c) The time at which the rock lands. \[ \_\_\_\_\_\_\_\_ \, \text{s} \] (d) The place where the rock lands. \[ \_\_\_\_\_\_\_\_ \, \text{m} \] (e) The velocity of the rock (magnitude and direction) just before it lands. \[ \text{magnitude} \, \_\_\_\_\_\_\_\_ \, \text{m/s} \] \[ \text{direction} \, \_\_\_\_\_\_\_\_ \, ^\circ \]
Transcribed Image Text:Consider a rock that is thrown off a bridge of height 68 m at an angle \( \theta = 21^\circ \) with respect to the horizontal as shown in the figure below. If the initial speed the rock is thrown is 15 m/s, find the following quantities. **Figure Description:** The diagram shows a side view of a bridge with a rock being thrown off at an angle \( \theta = 21^\circ \) above the horizontal axis. The vertical height from the water below to the point on the bridge where the rock is thrown is 68 meters. **Questions:** (a) The time it takes the rock to reach its maximum height. \[ \_\_\_\_\_\_\_\_ \, \text{s} \] (b) The maximum height reached by the rock. \[ \_\_\_\_\_\_\_\_ \, \text{m} \] (c) The time at which the rock lands. \[ \_\_\_\_\_\_\_\_ \, \text{s} \] (d) The place where the rock lands. \[ \_\_\_\_\_\_\_\_ \, \text{m} \] (e) The velocity of the rock (magnitude and direction) just before it lands. \[ \text{magnitude} \, \_\_\_\_\_\_\_\_ \, \text{m/s} \] \[ \text{direction} \, \_\_\_\_\_\_\_\_ \, ^\circ \]
Expert Solution
Step 1: Given:

text Height of bridge: end text H equals 68 space m text Angle of inclination: end text theta equals 21 to the power of o text Initial velocity of rock: end text u equals 15 space m divided by s

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