Applications of...

The law of motion in a straight line s = 1/2 vt, then acceleration is

A point moves in a straight line during time t = 0 to t = 3 according to the law s = 15 t – 2t². The average velocity is

The equation of motion of a stone, thrown vertically upwards is s = ut – 6.3t², where the units of s and t are cm and sec. if the stone reaches a maximum height in 3 sec, then u =

A particle moves in a straight line so that its velocity at any point is given v² = a + bx, where a, b ≠ 0 are constants. The acceleration is

The equation of motion of a stone thrown vertically upwards from the surface of a planet is given by s = 10 t – 3t², and the units of s and t are cm and sec respectively. The stone will return to the surface of the planet after

A body moves according to the formula v = 1 + t² where v is the velocity at time t. The acceleration after 3 sec will be (v in cm/sec)

The length of the side of a square sheet of metal is increasing at the rate of 4 cm/sec. The rate at which the area of the sheet is increasing when the length of its side is 2cm, is

The equations of motion of two stones thrown vertically simultaneously are s = 19.6t – 4.9t² and s = 9.8t – 4.9 t² respectively and the maximum height attained by the first one is h. When the height of the first stone is maximum, the height of the second stone will be