A stunt man drives a car at a speed of 25 m/sec off a 10 -m cliff. The road leading to the edge of the cliff is inclined upward at an angle of 16 ° . Choose a coordinate system with the origin at the base of the cliff directly under the point where the car leaves the edge. a. Write parametric equations defining the path of the car. b. How long is the car in the air? Round to the nearest tenth of a second. c. How far from the base of the cliff will the car land? Round to the nearest foot.
A stunt man drives a car at a speed of 25 m/sec off a 10 -m cliff. The road leading to the edge of the cliff is inclined upward at an angle of 16 ° . Choose a coordinate system with the origin at the base of the cliff directly under the point where the car leaves the edge. a. Write parametric equations defining the path of the car. b. How long is the car in the air? Round to the nearest tenth of a second. c. How far from the base of the cliff will the car land? Round to the nearest foot.
Solution Summary: The author calculates the parametric equation that represents the path of the car if it cliff off with an initial speed of 25m/sec.
A stunt man drives a car at a speed of
25
m/sec
off a
10
-m
cliff. The road leading to the edge of the cliff is inclined upward at an angle of
16
°
. Choose a coordinate system with the origin at the base of the cliff directly under the point where the car leaves the edge.
a. Write parametric equations defining the path of the car.
b. How long is the car in the air? Round to the nearest tenth of a second.
c. How far from the base of the cliff will the car land? Round to the nearest foot.
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
5
Use the method of disks to find the volume of the solid that is obtained
when the region under the curve y = over the interval [4,17] is rotated
about the x-axis.
3. Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
4. Use cylindrical shells to find the volume of the solid generated when the
region enclosed by the given curves is revolved about the x-axis.
y = √√x, y = 0, y = √√3
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY