Mathematics In Physics Test - 16

If acceleration of a particle is given as a(t)=sin(t)+2t. Then the velocity of the particle will be:

If x=3tan(t) and y=sec(t), then the value of  

A particle's position as a function of time is given by x = −t² + 6t + 3.

A gas undergoes a process where pressure P = 3V⁴ , at every instant, here V is the volume. Find an expression for the bulk modulus (B) in terms of volume if it is related to P and V as 

The current in a circuit is defined as I = dq/dt. The charge (q) flowing through a circuit, as a function of time (t), is given by q = 5t² − 20t + 3. The minimum charge flows through the circuit at:

The current in a circuit is defined as I = dq/dt. If the charge (q) flowing through a circuit is given by q = (t²−3t+4) current flowing through the circuit is equal to zero at:

Work done by a force (F) in displacing a body by dx is given by W = ∫ F (x). dx. If the force is given as a function of displacement (x) by F(x) = (x² − 2x + 1) N, then work done by the force from x = 0 to x = 3 m is:

The impulse due to a force on a body is given by I = ∫ Fdt. If the force applied on a body is given as a function of time (t) as F=(3t²+2t+5)N, then impulse on the body between t=3 sec to t = 5 sec is: