A particle is moving with acceleration a(t) = 30t + 10. its position at time t = 0 is s(0) = 7 and velocity at time t = 0 is v(0) = 9. What is its position at time t = 7?

Q: A projectile is launched upward from ground level with an initial velocity of 30 mis. (a) Find the…

A: It is given that, Initial velocity, u=30 m/s,Angle, θ=90°,andg=9.8m/s2 The ball is thrown vertically…

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 projectile is fired straight up from a platform 10ft above the ground, with an initial velocity of…

A: Topic:- application of integration

Q: The position function of a particle is given by s(t) = 3t2 – t3, t > 0. (a) When does the particle…

A: The given position function is:  s(t)=3t2-t3So, the velocity function…

Q: The velocity of a particle moving along a straight line is v(t) = sec(t) tan(t) where v is measured…

A:

Q: Find the position function of a particle that travels along the x-axis for t >= 0 with acceleration…

A: Accelaration at=8t-5

Q: A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is…

A:

Q: A body moving along the x axis starts at position x = 0 at t = 0, and moves with velocity v(t) = at³…

A:

Q: A particle has an initial displacement of s= 30 metres when t = 0. The velocity of the particle is…

A:

Q: The acceleration of an object moving along a vertical path is given by a(t) = 12- 7 cost meters per…

A: