The instantaneous velocity (defined as ) at time of a particle, whose position equation is given as s(t)=12 tanm, is
1. 12 m/s
2. 12 m/s
3. 6 m/s
4. \(6\sqrt2\) m/s
If the acceleration a(t) = 4t+6, the velocity of a particle starting from rest is:
1. 2t+6
2. 4
3. 0
4.
Given velocity v(t)=. 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:
1. 30
2. 31
3. 32
4. 33
The current through a wire depends on time as i =(2+3t) A.
The charge that crosses through the wire in 10 seconds is:
1. 150 C
2. 160 C
3. 170 C
4. None of there
The area of a blot of ink, A, is growing such that after t seconds, \(A=3t^2+\frac{t}{5}+7~m^2\). Then the rate of increase in the area at t= 5s will be :
1. 30.1 m2/s
2. 30.2 m2/s
3. 30.3 m2/s
4. 30.4 m2/s
A particle starts rotating from rest and its angular displacement is given by . Then, the angular velocity at the end of 10 s will be :
1. 0.7
2. 0.6
3. 0.5
4. 0
If the force on an object as a function of displacement is , what is work as a function of displacement . Assume W(0)=0 and force is in the direction of the object's motion.
1.
2.
3. 6x+1
4.
The velocity of a rocket, in metres per second, t seconds after it was launched is modelled by \(v(t)=2\sqrt{t}\). What is the total distance travelled by the rocket during the first four seconds of its launch?
1.
2. 32 m
3.
4. 16 m