physics

posted by .

A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)= α t2− β t3, where α = 1.43m/s2 and β = 4.60×10−2m/s3 .
1)Calculate the average velocity of the car for the time interval t=0 to t1 = 2.04s
2)Calculate the average velocity of the car for the time interval t=0 to t2 = 4.09s .
3)Calculate the average velocity of the car for the time interval t1 = 2.04s to t2 = 4.09s .

  • physics -

    velocity=d distance/dtime= d/dt (a t^2-Bt^3)
    velocity=2A*t -3Bt^2
    a) average= (v(2.04)-v(o))/2.04 where
    v(2.04)= 2A*2.04-3B*2.04^2 where A, B are given.

  • physics -

    A small rock is thrown vertically upward with a speed of 12.0 m/s from the edge of the roof of a 23.0 m tall building. The rock doesn't hit the building on its way back down and lands in the street below. Air resistance can be neglected.
    Part A
    What is the speed of the rock just before it hits the street?
    Express your answer with the appropriate units.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    If α and β are two angles in Quadrant II such that tan α= -1/2 and tan β = -2/3, find cos(α+β) Work: cos(α+β) = [ 1 - (tan α)(tan β) ] / [ 1 + (tan α)(tan β)] cos(α+β) …
  2. mechanics (calculating plane speed and climb angle

    Two radar stations A and B, are separated by the distance a = 500 m, track the plane C by recording the angles α and β at 1-second intervals. If three successive readings are t (s) 9 10 11 α 54.80◦ 54.06◦ …
  3. physics

    Let |α⟩=1M√∑M−1j=0αj|j⟩ and let |β⟩=1M√∑M−1j=0βj|j⟩ be its QFTM. Suppose we shift the superposition |α⟩ to produce |α′⟩=1M√∑M−1j=0αj|j+1(modM)⟩, …
  4. Trigonometry

    The quadratic equation x^2−9x+10=0 has roots tanα and tanβ, where 0∘<α+β<180∘. What is the measure of α+β (in degrees)?
  5. math

    Complex numbers α and β satisfy αα¯=ββ¯=−17,α+β=7i. What is the value of αβ?
  6. Pure Mathematics

    4) The roots of the equation z^2+2z+4=0 are denoted by α and β. a) find α and β in the form re^iθ, giving the values of r and θ b) Using de Moivre's Theorem, show that α^3=β^3. c) find the exact …
  7. Physics

    A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)= α t^2− β t^3, where α = 1.54m/s2 and β = 5.05×10−2m/s^3 …
  8. Physics

    Two cars, A and B, travel in a straight line. The distance of A from the starting point is given as a function of time by xA(t)=αt+βt^2, with α=2.60m/s and β=1.20m/s^2. The distance of B from the starting point …
  9. Physics

    A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)= α t2− β t3, where α = 1.40m/s2 and β = 5.05×10−2m/s3 A) …
  10. Pre-calc

    Hi Steve and Damon, if you're reading this, please take a look at my previous post because I had to apologize for my mistake. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ My Home Work Question: Suppose that α is an angle such that …

More Similar Questions