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
, where C is a constant, can be expressed as:
1.
2.
3.
4.
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
The work done by gravity exerting an acceleration of -10 m/ for a 10 kg block down 5 m from its original position with no initial velocity is:
1. 250 J
2. 500 J
3. 100 J
4. 1000 J
Water flows into a container of 1000 L at a rate of (180+3t) gal/min for an hour, where t is measured in minutes. Find the amount of water that flows into the pool during the first 20 minutes.
1. 4000 gal
2. 2800 gal
3. 4200 gal
4. 3800 gal