30 Questions
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?
Uniform acceleration
What is the acceleration of a point moving in a curve given by x = at, y = b sin at?
Constant acceleration
A particle moves in a straight line with displacement given by x = a + bt - ct^2. What is its acceleration?
2b - 2c
A stone is thrown vertically upwards from the surface of the moon with an initial velocity of 24 m/s. What is its acceleration?
Uniform acceleration
A particle moves in a curve given by x = at, y = bt^2. What is its acceleration at time t?
2b
A particle moves in a straight line with the position given by s = 15t - 2t². What is its acceleration?
-4 m/s²
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?
3 s
A point moves in a straight line according to the law s = 15t - 2t². What is its velocity at t = 2 s?
19 m/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?
10π cm²/s
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?
-1.5 m/s²
What is the acceleration of a stone thrown vertically upwards, given that the equation of motion is s = 80t - 16t²?
8 m/s²
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?
29.4 m/s
A particle moves according to the equation s = at² + bt + c. What is the acceleration of the particle?
2a
A particle moves along a curve x = at² + bt + c, where ac = b². What type of motion is exhibited by the particle?
Uniform acceleration
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?
2:1
What is the acceleration of a particle moving in a straight line with velocity given by v = 2 - 3x?
Uniform 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?
1.6 m/s²
What is the definition of velocity of a moving particle?
Rate of change of displacement with respect to time
A point moves in a straight line according to the law x = at² + bt + c. What is its acceleration?
Uniform acceleration
What is the type of motion exhibited by a particle moving in a curve given by x = at, y = b sin at?
Projectile motion
What is the expression for the instantaneous velocity of a particle?
Lim Δt → 0 (Δs / Δt)
A particle moves according to the equation s = at² + bt + c. What is its velocity at time t?
v = 2at + b
What is the acceleration of a particle if its velocity varies?
dv / dt
A particle moves according to the equation s = t³ + 2t² + t. What is its velocity at t = 1 second?
8 cm/sec
What is the unit of acceleration?
m/s²
What is the rate of increase of the area of the circular ripples when the radius is 10 cm?
120 π cm²/sec
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?
1458000 cu cm per sec
If a spherical balloon has a variable diameter 3x + 2, then the rate of change of its volume with respect to x is?
27 π (2x + 3)²
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?
7v m/min
If y = ∫x^2 dt, then the rate of change of y with respect to x when x = 1, is?
2
Test your understanding of motion under gravity with this quiz, featuring problems on vertical projection, velocity, and acceleration. Solve for the velocity after 2 seconds, and determine the equation of motion.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
