A car has a certain displacement between 0 seconds and 2 seconds. If we defined its velocity as v(t)=6t-5, then the displacement in meters is: Here, v=dsdt

1. 1 m

2. 2 m

3. 3 m

4. 4 m

Subtopic:  Integration |
 86%
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The relation between time t and distance x is t=ax2+bx, where a and b are constants, the acceleration is here, v=dxdt and a=d2xdt2

(1) 2b v3

(2) -2 ab v2

(3) 2 av2

(4) -2 av3

Subtopic:  Differentiation |
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Given velocity v(t) = 52t+3. Assume s(t) is measured in meters and t is measured in seconds. If s(0) = 0, the position s(4) at t = 4s is:  Given, v=dsdt

1. 30 2. 31
3. 32 4. 33
Subtopic:  Integration |
 85%
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The current through a wire depends on time as i=(2+3t) A. The charge that crosses through the wire in 10 seconds is: (Instantaneous current, i=dqdt)
1. 150 C
2. 160 C
3. 170 C

4. None of there

Subtopic:  Integration |
 83%
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The area of a blot of ink, A, is growing such that after t seconds, A=(3t2+t5+7)m2. Then the rate of increase in the area at t=5 s will be:
1. 30.1 m2/s
2. 30.2 m2/s
3. 30.3 m2/s
4. 30.4 m2/s

Subtopic:  Differentiation |
 80%
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A particle starts rotating from rest and its angular displacement is given by θ=t240+t5. Then, the angular velocity ω=dθdt at the end of 10 s will be:
1. 0.7
2. 0.6
3. 0.5
4. 0

Subtopic:  Differentiation |
 81%
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The value of x=x=RGMmx2 dx is:

1. GMmR

2. 2GMmR

3. -GMmR

4. -2GMmR

Subtopic:  Integration |
 72%
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0QqCdq, where C is a constant, can be expressed as:

1. Q2C

2. -Q22C

3. -Q2C

4. Q22C

Subtopic:  Integration |
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If the force on an object as a function of displacement is F(x)=3x2+x, what is work as a function of displacement w(x)(w=fdx) Assume w(0)=0 and force is in the direction of the object's motion.
1. 3x32+x2
2. x3+x22
3. 6x+1
4. 3x2+x

Subtopic:  Integration |
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The velocity of a rocket, in metres per second, t seconds after it was launched is modelled by v(t)=2t. What is the total distance travelled by the rocket during the first four seconds of its launch?
1. 163 m
2. 32 m
3. 323 m
4. 16 m

Subtopic:  Integration |
 74%
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