icle is moving in a straight line. The velocity v ms-¹ at time t s after the vehicle starts is given by V= A(t -0.05t²) B for 0 ≤ t ≤ 15, for t≥ 15, v2 = e A and B are constants. The distance travelled by the vehicle between t = 0 and t = 15 is 225m. Find the value of A and show that B = 3375. Find an expression in terms of t for the total distance travelled by the vehicle when t > 15. Find the speed of the vehicle when it has travelled a total distance of 315m.
icle is moving in a straight line. The velocity v ms-¹ at time t s after the vehicle starts is given by V= A(t -0.05t²) B for 0 ≤ t ≤ 15, for t≥ 15, v2 = e A and B are constants. The distance travelled by the vehicle between t = 0 and t = 15 is 225m. Find the value of A and show that B = 3375. Find an expression in terms of t for the total distance travelled by the vehicle when t > 15. Find the speed of the vehicle when it has travelled a total distance of 315m.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. A vehicle is moving in a straight line. The velocity v ms-¹ at time t s after the vehicle starts is given by
v =
v=
A(t = 0.05t²)
B
t²
for 0 ≤ t ≤ 15,
for t ≥ 15,
where A and B are constants. The distance travelled by the vehicle between t = 0 and t = 15 is 225m.
(i)
Find the value of A and show that B = 3375.
(ii)
Find an expression in terms of t for the total distance travelled by the vehicle when t > 15.
(iii) Find the speed of the vehicle when it has travelled a total distance of 315m.
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