How can trajectory of different motion be explained on the basis of acceleration and initial velocity?

The displacement of a particle moving in a straight line is given by the expression x=At^3 + Bt^2 + Ct +D in metres, where t is in second and A, B, C and D are constants. The ratio between the initial acceleration and initial velocity is

Assertion: The equation of motion can be applied only if acceleration is along the direction of velocity and is constant. Reason: If the acceleration of a body is constant then its motion is known uniform motion

Acidity of BF_3 can be explained on the basis of which of the following concepts?

A particle is executing simple harmonic motion with an amplitude of 2 m. The difference in the magnitude of its maximum acceleration and maximum velocity is 4. The time period of its oscillation and its velocity when it is l m away from the mean position are respectively

Solve the following examples: (numerical problems) A body moves in a straight line with a uniform acceleration. If the initial velocity of the body is 5 m/s and the velocity after 10 s is 15 m/s, find the acceleration of the body and

A projectile is fired from the surface of the earth with a velocity of 7 ms^-1 and angle theta with the horizontal. Another projectile fired from another planet with a velocity of 2.5 ms^-1 at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in ms^-1 (given =9,8 ms^-2 )

.Derive an expression for the gravitational acceleration on the earth's surface at a latitude lambda OR Explain the variation of acceleration due to gravity due to the rotational motion of the earth OR Explain the effect of latitude on the value of acceleration due to gravity