Application in Mechanics

What is the acceleration of a particle moving in a straight line with velocity given by v = 2 - 3x, where x is measured from a fixed point?

What is the acceleration of a point moving in a curve given by x = at, y = b sin at?

A particle moves in a straight line with displacement given by x = a + bt - ct^2. What is its acceleration?

A stone is thrown vertically upwards from the surface of the moon with an initial velocity of 24 m/s. What is its acceleration?

A particle moves in a curve given by x = at, y = bt^2. What is its acceleration at time t?

A particle moves in a straight line with the position given by s = 15t - 2t². What is its acceleration?

A stone is thrown vertically upwards with an initial velocity of 37.8 cm/s. How long does it take to reach its maximum height?

A point moves in a straight line according to the law s = 15t - 2t². What is its velocity at t = 2 s?

A circle is increasing uniformly at the rate of 3 cm/s. What is the rate of increase of its area when the radius is 10 cm?

A particle moves according to the equation s = at² + bt + 6, where t ≥ 0. If it comes to rest after 4 seconds, what is the value of a?

What is the acceleration of a stone thrown vertically upwards, given that the equation of motion is s = 80t - 16t²?

A ball is thrown vertically upwards with an initial velocity of u m/s. If it takes 6 seconds to return to the ground, what is the initial velocity?

A particle moves according to the equation s = at² + bt + c. What is the acceleration of the particle?

A particle moves along a curve x = at² + bt + c, where ac = b². What type of motion is exhibited by the particle?

Two stones are thrown vertically upwards simultaneously, with equations of motion s = 19.6t - 4.9t² and s = 9.8t - 4.9t² respectively. What is the ratio of the maximum heights attained by the two stones?

What is the acceleration of a particle moving in a straight line with velocity given by v = 2 - 3x?

A stone is thrown vertically upwards from the surface of the moon with an initial velocity of 24 m/s. What is its acceleration?

What is the definition of velocity of a moving particle?

A point moves in a straight line according to the law x = at² + bt + c. What is its acceleration?

What is the type of motion exhibited by a particle moving in a curve given by x = at, y = b sin at?

What is the expression for the instantaneous velocity of a particle?

A particle moves according to the equation s = at² + bt + c. What is its velocity at time t?

What is the acceleration of a particle if its velocity varies?

A particle moves according to the equation s = t³ + 2t² + t. What is its velocity at t = 1 second?

What is the unit of acceleration?

What is the rate of increase of the area of the circular ripples when the radius is 10 cm?

If the edge of a cube increases at the rate of 60 cm per second, at what rate is the volume increasing when the edge is 90 cm?

If a spherical balloon has a variable diameter 3x + 2, then the rate of change of its volume with respect to x is?

Two cyclists start from the junction of two perpendicular roads, their velocities being 3v metres/minute and 4v metres/minute. The rate at which the two cyclists are separating is?

If y = ∫x^2 dt, then the rate of change of y with respect to x when x = 1, is?