A rock is throw horizontally off a cliff.  After 3.0 seconds the velocity of the rock has an angle of 10° below the horizontal.  Determine the magnitude of the initial velocity of the rock.

Q: Find T(v) by using the standard matrix and the matrix relative to B and B'. T: R² R², T(x, y) = (2y,…

A:

Q: High-speed stroboscopic photographs show that the head of a 200-g golf club is traveling at 40 m/s…

A: Given,      mclub…

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 17 cm/min.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: While sitting in class doing homework, Mr. T decides to take his pen and spin it around. The length…

A: Solve for angular velocity

Q: A rotating light is located 13 feet from a wall. The light completes one rotation every 3 seconds.…

A:

Q: Riders on a ferris wheel travel in a cricle in a vertical plane. A particular wheel has a radius of…

A: Let radius of the wheel is R = 40 feet  and angular velocity is 2 rev/min  Angular velocity w =( 2×…

Q: Car A drives due East at 20 kph. Starting at the same point, car B traveling at 30kph goes North for…

A: Given that car moves to east at 20 km/hr. Car B starting at the same point travels north at at 30…

Q: Two sides of an oblique triangle are measured to be 6 and 2. If the angle 9 between the two sides…

A: We have to find the rate of the increment of the opposite side.

Q: The Eiffel Tower, in Paris France, is approximately 324 meters tall. A camera is 85 meters from the…

A: The figure

Q: A bicycle with 28 inch diameter wheels is moving at a steady speed. If the wheels are turning at…

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Q: BONUS: Find the matrix of the transformation on R2 that first reflects a vector about the x axis.…

A: The standard matrix by reflects a vector about x-axis is,                                      100-1…

Q: A 1.4-m pendulum is initially at its leftmost position of -9 degrees .Determine the period for one…

A: The objective of this question is to find the period of a pendulum swing and to model the angular…

Q: Two people start at the same place and walk around a circular lake in opposite directions. One has…

A:

Q: We fire a ball from the origin with initial speed of 50 m/s with an angle of 0.9273 radians. Assume…

A: Given, v0=50m/s ; α=0.9273 radians, g = 10m/s2 When the ball is at highest point, vx=v0cosα ; vy=0 ;…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.