6. A particle travels in a straight line from A to B in 20s. Its acceleration t seconds after leaving A is a ms-2, where a = 160 t² -t³. It is given that the particle comes to rest at B. 800 (i) Show that the initial speed of the particle is zero. (ii) Find the maximum speed of the particle. (iii) Find the distance AB.

Q: In an Earth-like planet from a different galaxy, the acceleration due to gravity is -20 m/s². A…

A: Velocity and position

Q: The boat is moving at 10m/s when its engine is shut down. Due to the hydrodynamic drag, its…

A: The given information are: When t=0, then v0=10 m/s and a=-0.05v2 . The information that needs to be…

Q: A4) The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 6t³ –…

A:

Q: Sr'+y = 25 Solve: x+3y = 5

A: Topic-pre calculas

Q: (3) The distance of a particle from a point O at time t seconds is given by s = 2t³ - 27t² + 108t -…

A: Given : s=2t3-27t2+108t-84   ,   t≥0 To find : (a) velocity (b) Acceleration (c) Time when velocity…

Q: A toy rocket is launched vertically upwards from the ground. After 5.5 seconds it begins to fall…

A: The relation between the velocity and time can be obtained using the formula v=u+at. Here, u is the…

Q: A 69-kg base runner begins his slide into second base when he is moving at a speed of 4.6 m/s. The…

A: given speed u=4.6 m/s coefficient of friction μ=0.70 a) How much mechanical energy is lost due to…

Q: 9 The acceleration of a lift in a tall building is ½(t – 5) m/s² at time t seconds. At time t = 0,…

A: We have to find the number of floor at which the lift stops.

Q: A ball is thrown upward from a height of 0.5 m at an initial speed of 32 m/sec. Acceleration…

A: Answer :-

Q: 1. A particle moves horizontally according to the law s = t³-t²- 24t + 1. (a) Where is the particle…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.