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
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12%
foundation with BxB-10x10m and depth of raft D-2m, the allowable
settlement is 50mm.
Elevation, m 0.5 2
2 6.5 9.5 13 18 25
No.of blows, N 11 15 29 32 30 44
0
estigate shear
12%
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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