A particle 2
If the motion of a particle is described by the relation a(t) = 7t3 + 2 m/s2, and the initial velocity of the motion is zero when t = 0 and the distance is 2m, t = 0.5s. Determine the velocity and displacement when t = 10s.
Correct answer:
Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you want to convert length units?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?
Do you want to convert length units?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?
You need to know the following knowledge to solve this word math problem:
Units of physical quantities:
Themes, topics:
Grade of the word problem:
Related math problems and questions:
- The position
The displacement function S=t³-2t²-4t-8 gives the position of a body at any time t. Find its acceleration at each instant time when the velocity is zero. - Coordinate 82855
What is the ratio of the distance of the nearest and farthest point of the circle described by the equation x2+y2-16x-12y+75=0 from the origin of the coordinate system? - Expression 3143
Determine the value of the expression 3x / 2 - 5/2 - 0,5x + 1 for x: a) x = 3 b) x = -3 c) x = 0 - The car
The car traveled the distance between A and B for four hours. If we increase the average by 17 km/h, the car travels this distance an hour earlier. Determine the initial speed of the car and the distance between A and B. - Oscillating 37271
Calculate the oscillation time T of the undamped harmonic oscillating motion of a particle of mass m = 10 g if the force holding the particle in this motion has a value of F = 0,05 N at a deflection of x = 3 cm. - Please
Please determine the solvability conditions of the equation, solve the equation and perform the test: x divided by x squared minus 2x plus1 the whole minus x + 3 divided by x squared minus one is equal to 0: x/(x²-2x+1) - (x+3)/( x²-1) = 0 - Intersection 6374
Determine the intersection of the two lines p and q if. : p: 3y + 2x-5 = 0 q: 4x + 7y-11 = 0 - Acceleration 82397
The position of a mass point that moves along the x-axis is given by the relation x=10t²-5t. Express its velocity and acceleration. - Recurrence relation
Consider a recurrence relation an = 3an-1 - 3an-2 for n = 1,2,3,4,… with initial conditions a1 = 4 and a2 = 2. Calculate a5. - Add and subtract fractions
Calculate: A) 6/14 + 1/14 = B) 1 2/5 + 2 1/5 = C) 2/13 + 5/13 + 7/13 = D) 2 1/10 + 0/10 = E) 3 + 10/11 = F) 2/3 + 4/3 G) 4 1/9 + 2 4/9 = H) 8 3/8 + 3 1/8 + 1 7/8 = I) 4/9 + 6 1/9 = J) 11/6 + 2 1/6 = K) 0 1/15 + 7/15 + 3 4/15 = - Quadratic equation
Determine the numbers b and c that the numbers x1 = -7 and x2 = 5 were roots of the quadratic equation: -3x ² + b x + c = 0 - Perpendicular projection
Determine the distance of a point B[1, -3] from the perpendicular projection of a point A[3, -2] on a straight line 2 x + y + 1 = 0. - A circle
A circle relation is given to be x² + y² =16. What is the radius of the circle? - Gravitation
From the top of the 80m high tower, the body is thrown horizontally with an initial speed of 15 m/s. At what time and at what distance from the foot of the tower does the body hit the horizontal surface of the Earth? (use g = 10 ms-2) - Variables: 3140
Determine the value of the expression 3a + 2b - a² - 4b² for the values of the variables: a) a = - 1, b = 3 b) a = 2, b = -1 c) a = -2, b = -3 d) a = 4, b = 2 e) a = -5, b = 0 - Acceleration 7054
The car brakes with an acceleration of 5 m/s-2. Determine the stopping distance of the car if its initial speed is a) 54 km/h, b) 108 km/h. Compare the calculated braking distances concerning the given speeds. - Determine 216
Determine the quotient; (-20) divided by ( -4) =? A) +6 B) - 6 C) +5 D) -5