motion in straight line

The motion of a particle is described by the equation u= at. The distance traveled by particle in first 4s is

• 4a

• 6a

• 12a

• 8a

A body falling from rest describes distances s1, s2 and s3 in the first, second and third seconds of its fall, then the ratio s1: s2 : s3 is

• 1 : 1 : 1

• 1 : 3 : 5

• 1 : 2 : 3

• 1 : 4 : 9

An object is released from rest and falls in the absence of air resistance. Which of the following is true about its

motion?

• Its acceleration is zero

• Its acceleration is constant

• Its velocity is constant

• Its acceleration is increasing

The velocity-time graph of two bodies A and B are shown in figure , The ratio of their acceleration is:

• 1:√3

• 1:3

• √3:1

• √3:√2

The velocity-time graph of a body is shown in figure, the acceleration for points AB , BC and CD are

• 2 m/s² , 1 m/s² , 2 m/s²

• 1 m/s² , 2 m/s² , 3m/s²

• 2 m/s² , 0 m/s² ,3 m/s²

• 0.5 m/s² , infinity m/s² ,0.33 m/s²

A vehicle travels half the distance L with speed u and the other half with speed V then its average speed is

• $\frac{\left(u+v\right)}{2}$

• $\frac{\left(2u\ +v\right)}{u\ +v}$

• $\frac{2uv}{u+v}$

• $\frac{L\left(u+v\right)}{uv}$

A  car starts from rest and after  7 seconds it is moving at 42  m/s. What is the car’s acceleration?

• 0.17
• 1.67
• 6
• 7

Tags

NGSS.HS-PS2-1

• cosx
• -cosx
• -sinx cosx
• sinx cosx

Differentiate y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

A particle moves along an axis so that at any time t>0, its velocity is given by v(t)=4-6t². If the particle is at position p=7 at t=1, what is the position of the particle at t=2?

• -10

• -5

• -3

• 3