A remote controlled car with a constant velocity drives offthe top of a wall tha

Question

A remote controlled car with a constant velocity drives offthe top of a wall that is 10.0 high and lands 4.60m from the baseof the wall. a)What is the car's velocity before it drives off the top ofthe wall? b) What is the cars vertical velocity at impact? C) How far from the base of the wall would the remotecontrolled car have landed if it had been subject to accelerationdue to gravity on the moon( 1.7m/s sqaure) A remote controlled car with a constant velocity drives offthe top of a wall that is 10.0 high and lands 4.60m from the baseof the wall. a)What is the car's velocity before it drives off the top ofthe wall? b) What is the cars vertical velocity at impact? C) How far from the base of the wall would the remotecontrolled car have landed if it had been subject to accelerationdue to gravity on the moon( 1.7m/s sqaure)

Explanation / Answer

    Data:           height of the wall, h= 10 m           horizontal range, X=4.6 m           Let           initial velocity ofprojection in horizontal direction at the top of the table = U           time of flight = t     Sol: (a)     Horizontal range, X = U t         S = Ut + ( 1/2 ) a t2     Here initial velocity in verticaldirection is zero and a = - g    - h = 0 -( 1/2 ) g ( X / U ) 2        h = ( 1/2 ) g ( X / U )2     10 = 4.9 * 4.62 / U 2        U2 =10.3684     U = 3.22 m/s (b)     Vertical velocity of car at impact with theground, V = ( 2 g h )                                                          = ( 2 * 9.8 * 10 )                                                        =14 m/s (c)     Horizontal range is independent of accelerationdue to gravity, because the horizontal velocity isconstant     Hence, the horizontal range = 4.6m

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.