Advertisements
Advertisements
प्रश्न
An object was launched from a place P in constant speed to hit a target. At the 15th second, it was 1400 m from the target, and at the 18th second 800 m away. Find time taken to hit the target
Advertisements
उत्तर
Let us take the time T along the x-axis and the Distance D along the y-axis.
Given when time T = 15s, the distance D = 1400 m
The corresponding point is (15, 1400)
Also when time T = 18s, the distance D = 800 m.
The corresponding point is (18, 800)
Time taken to hit the Target:
When the target is reached D = 0
∴ (1) ⇒ T = `(1400 - 0)/200 + 15`
T = `1400/200 + 15`
T = 7 + 15
= 22 seconds
∴ The time taken to hit the target is 22 seconds
APPEARS IN
संबंधित प्रश्न
Find the slope of the following line which passes through the points:
C(−2, 3), D(5, 7)
Find the slope of the following line which passes through the points:
E(2, 3), F(2, −1)
A line makes intercepts 3 and 3 on the co-ordinate axes. Find the inclination of the line.
Find the value of k for which points P(k, −1), Q(2, 1) and R(4, 5) are collinear.
If points A(h, 0), B(0, k) and C(a, b) lie on a line then show that `"a"/"h" + "b"/"k"` = 1
Select the correct option from the given alternatives:
A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y−interecpt is
Select the correct option from the given alternatives:
If kx + 2y − 1 = 0 and 6x − 4y + 2 = 0 are identical lines, then determine k
Answer the following question:
Find the equation of the line containing the point T(7, 3) and having inclination 90°.
Answer the following question:
Line through A(h, 3) and B(4, 1) intersect the line 7x − 9y − 19 = 0 at right angle Find the value of h
Find the equation of the lines passing through the point (1, 1) with y-intercept (– 4)
The normal boiling point of water is 100°C or 212°F and the freezing point of water is 0°C or 32°F. Find the linear relationship between C and F
An object was launched from a place P in constant speed to hit a target. At the 15th second, it was 1400 m from the target, and at the 18th second 800 m away. Find the distance between the place and the target
Show that the points (1, 3), (2, 1) and `(1/2, 4)` are collinear, by using concept of slope
A 150 m long train is moving with constant velocity of 12.5 m/s. Find time taken to cross the bridge of length 850 m
A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table
| Weight (kg) | 2 | 4 | 5 | 8 |
| Length (cm) | 3 | 4 | 4.5 | 6 |
Draw a graph showing the results.
A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table
| Weight (kg) | 2 | 4 | 5 | 8 |
| Length (cm) | 3 | 4 | 4.5 | 6 |
Find the equation relating the length of the spring to the weight on it
If one of the lines given by kx2 + 2xy – 3y2 = 0 is perpendicular to the line 3x + 5y+ 1 = 0, then the value of k is ______.
The locus of the point of intersection of the lines xcosα + ysinα = α and xsinα – ycosα = b(where α is a variable) is ______.
Find the coordinates of the point which divides the line segment joining the points (1, –2, 3) and (3, 4, –5) internally in the ratio 2 : 3.
If planes x – cy – bz = 0, cx – y + az = 0 and bx + ay – z = 0 pass through a straight line then a2 + b2 + c2 = ______.
