The angular displacement Θ radians of a fly wheel varies with time t seconds and follows the equation θ =9 t2 -2 t3 .Determine the angular velocity of the fly wheel when time t = 1 second
10
12
14
16
Supplies are dropped from an helicopter and distance fallen in time t seconds is given by x = 1/2 gt2 where g = 9.8 m/sec2 .Determine the velocity of the supplies after it has falls for 2 seconds.
19.2
19.4
19.6
19.8
If the length of the diagonal of a square is increasing at the rate of 0.2 cm/sec,then the rate of increase of its area when the side is is
3cm2/sec
If the length of the diagonal of a square is increasing at the rate of 0.1 cm/sec. What is the rate of increase of its area when the side is 15/√2 cm ?
1.5
3
3√2
0.15
The distance x meters described by a car in time t seconds is given by x = 3 t2 - 2 t2 + 4 t - 1. Determine the velocity when t = 0
4
5
6
7
The value of
2
-2
-1
1
A cone whose height is always equal to its diameter is increasing in Volume at the rate of 40 cm2 /sec . At what rate is the radius increasing when its circular base area is 1m2 ?
1mm/sec
0.001 cm/sec
2 mm/sec
0.002 cm/sec
The slope of the tangent to the curve y = 3 x2 +3 sinx at x = 0 is
-7
For the curve x = t2-1, y = t2 - t, the tangent is perpendicular to x - axis when
t = 0
t = l
The slope of the normal to the curve y = 3 x2 at the point where x - co ordinate 2 is
1/13
1/14
-1/12
1/12
